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Simplifying -91 = 7 + -7(m + 7) Reorder the terms: -91 = 7 + -7(7 + m) -91 = 7 + (7 * -7 + m * -7) -91 = 7 + (-49 + -7m) Combine like terms: 7 + -49 = -42 -91 = -42 + -7m Solving -91 = -42 + -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. -91 + 7m = -42 + -7m + 7m Combine like terms: -7m + 7m = 0 -91 + 7m = -42 + 0 -91 + 7m = -42 Add '91' to each side of the equation. -91 + 91 + 7m = -42 + 91 Combine like terms: -91 + 91 = 0 0 + 7m = -42 + 91 7m = -42 + 91 Combine like terms: -42 + 91 = 49 7m = 49 Divide each side by '7'. m = 7 Simplifying m = 7
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