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Simplifying 5 + 2(m + -6) = -1(2m + 3) Reorder the terms: 5 + 2(-6 + m) = -1(2m + 3) 5 + (-6 * 2 + m * 2) = -1(2m + 3) 5 + (-12 + 2m) = -1(2m + 3) Combine like terms: 5 + -12 = -7 -7 + 2m = -1(2m + 3) Reorder the terms: -7 + 2m = -1(3 + 2m) -7 + 2m = (3 * -1 + 2m * -1) -7 + 2m = (-3 + -2m) Solving -7 + 2m = -3 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -7 + 2m + 2m = -3 + -2m + 2m Combine like terms: 2m + 2m = 4m -7 + 4m = -3 + -2m + 2m Combine like terms: -2m + 2m = 0 -7 + 4m = -3 + 0 -7 + 4m = -3 Add '7' to each side of the equation. -7 + 7 + 4m = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 4m = -3 + 7 4m = -3 + 7 Combine like terms: -3 + 7 = 4 4m = 4 Divide each side by '4'. m = 1 Simplifying m = 1
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