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Simplifying 4(2m + -3) + -30 = 6(m + -8) Reorder the terms: 4(-3 + 2m) + -30 = 6(m + -8) (-3 * 4 + 2m * 4) + -30 = 6(m + -8) (-12 + 8m) + -30 = 6(m + -8) Reorder the terms: -12 + -30 + 8m = 6(m + -8) Combine like terms: -12 + -30 = -42 -42 + 8m = 6(m + -8) Reorder the terms: -42 + 8m = 6(-8 + m) -42 + 8m = (-8 * 6 + m * 6) -42 + 8m = (-48 + 6m) Solving -42 + 8m = -48 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -42 + 8m + -6m = -48 + 6m + -6m Combine like terms: 8m + -6m = 2m -42 + 2m = -48 + 6m + -6m Combine like terms: 6m + -6m = 0 -42 + 2m = -48 + 0 -42 + 2m = -48 Add '42' to each side of the equation. -42 + 42 + 2m = -48 + 42 Combine like terms: -42 + 42 = 0 0 + 2m = -48 + 42 2m = -48 + 42 Combine like terms: -48 + 42 = -6 2m = -6 Divide each side by '2'. m = -3 Simplifying m = -3
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