Answer:
m= -2.9
Step-by-step explanation:
Step 1: Simplify the equation by finding a common denominator for the fractions. The common denominator for 4, 8, and 6 is 24. Multiply both sides of the equation by 24 to clear the fractions: 24 * (3m/4) + 24 * (3/8) = 24 * (m/3) - 24 * (5/6)
Step 2: Simplify each term: (24 * 3m) / 4 + (24 * 3) / 8 = (24 * m) / 3 - (24 * 5) / 6 72m/4 + 72/8 = 8m - 120/6 18m + 9 = 8m - 20
Step 3: Combine like terms: 18m - 8m = -20 - 9 10m = -29
Step 4: Solve for m by dividing both sides of the equation by 10: m = -29/10 So the solution to the equation is m = -2.9.
Keep in mind that it's always a good idea to double-check your solution by substituting it back into the original equation to ensure that it holds true.
