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Simplifying -4(3 + m) + 5 = 4(m + 3) (3 * -4 + m * -4) + 5 = 4(m + 3) (-12 + -4m) + 5 = 4(m + 3) Reorder the terms: -12 + 5 + -4m = 4(m + 3) Combine like terms: -12 + 5 = -7 -7 + -4m = 4(m + 3) Reorder the terms: -7 + -4m = 4(3 + m) -7 + -4m = (3 * 4 + m * 4) -7 + -4m = (12 + 4m) Solving -7 + -4m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -7 + -4m + -4m = 12 + 4m + -4m Combine like terms: -4m + -4m = -8m -7 + -8m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 -7 + -8m = 12 + 0 -7 + -8m = 12 Add '7' to each side of the equation. -7 + 7 + -8m = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -8m = 12 + 7 -8m = 12 + 7 Combine like terms: 12 + 7 = 19 -8m = 19 Divide each side by '-8'. m = -2.375 Simplifying m = -2.375
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