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Simplifying 3(2m + -7) + -2(m + -3) = 0 Reorder the terms: 3(-7 + 2m) + -2(m + -3) = 0 (-7 * 3 + 2m * 3) + -2(m + -3) = 0 (-21 + 6m) + -2(m + -3) = 0 Reorder the terms: -21 + 6m + -2(-3 + m) = 0 -21 + 6m + (-3 * -2 + m * -2) = 0 -21 + 6m + (6 + -2m) = 0 Reorder the terms: -21 + 6 + 6m + -2m = 0 Combine like terms: -21 + 6 = -15 -15 + 6m + -2m = 0 Combine like terms: 6m + -2m = 4m -15 + 4m = 0 Solving -15 + 4m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4m = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4m = 0 + 15 4m = 0 + 15 Combine like terms: 0 + 15 = 15 4m = 15 Divide each side by '4'. m = 3.75 Simplifying m = 3.75
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