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Simplifying 2(m + 1) = 7(-7 + -7m) Reorder the terms: 2(1 + m) = 7(-7 + -7m) (1 * 2 + m * 2) = 7(-7 + -7m) (2 + 2m) = 7(-7 + -7m) 2 + 2m = (-7 * 7 + -7m * 7) 2 + 2m = (-49 + -49m) Solving 2 + 2m = -49 + -49m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '49m' to each side of the equation. 2 + 2m + 49m = -49 + -49m + 49m Combine like terms: 2m + 49m = 51m 2 + 51m = -49 + -49m + 49m Combine like terms: -49m + 49m = 0 2 + 51m = -49 + 0 2 + 51m = -49 Add '-2' to each side of the equation. 2 + -2 + 51m = -49 + -2 Combine like terms: 2 + -2 = 0 0 + 51m = -49 + -2 51m = -49 + -2 Combine like terms: -49 + -2 = -51 51m = -51 Divide each side by '51'. m = -1 Simplifying m = -1
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