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Simplifying -8(m + 4) + 4 = -7(m + 3) Reorder the terms: -8(4 + m) + 4 = -7(m + 3) (4 * -8 + m * -8) + 4 = -7(m + 3) (-32 + -8m) + 4 = -7(m + 3) Reorder the terms: -32 + 4 + -8m = -7(m + 3) Combine like terms: -32 + 4 = -28 -28 + -8m = -7(m + 3) Reorder the terms: -28 + -8m = -7(3 + m) -28 + -8m = (3 * -7 + m * -7) -28 + -8m = (-21 + -7m) Solving -28 + -8m = -21 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -28 + -8m + 7m = -21 + -7m + 7m Combine like terms: -8m + 7m = -1m -28 + -1m = -21 + -7m + 7m Combine like terms: -7m + 7m = 0 -28 + -1m = -21 + 0 -28 + -1m = -21 Add '28' to each side of the equation. -28 + 28 + -1m = -21 + 28 Combine like terms: -28 + 28 = 0 0 + -1m = -21 + 28 -1m = -21 + 28 Combine like terms: -21 + 28 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7
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