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Simplifying -1(7 + 3m) = m + 9 (7 * -1 + 3m * -1) = m + 9 (-7 + -3m) = m + 9 Reorder the terms: -7 + -3m = 9 + m Solving -7 + -3m = 9 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -7 + -3m + -1m = 9 + m + -1m Combine like terms: -3m + -1m = -4m -7 + -4m = 9 + m + -1m Combine like terms: m + -1m = 0 -7 + -4m = 9 + 0 -7 + -4m = 9 Add '7' to each side of the equation. -7 + 7 + -4m = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -4m = 9 + 7 -4m = 9 + 7 Combine like terms: 9 + 7 = 16 -4m = 16 Divide each side by '-4'. m = -4 Simplifying m = -4
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