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Simplifying 7(m + -7) = -7(1 + -7m) Reorder the terms: 7(-7 + m) = -7(1 + -7m) (-7 * 7 + m * 7) = -7(1 + -7m) (-49 + 7m) = -7(1 + -7m) -49 + 7m = (1 * -7 + -7m * -7) -49 + 7m = (-7 + 49m) Solving -49 + 7m = -7 + 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. -49 + 7m + -49m = -7 + 49m + -49m Combine like terms: 7m + -49m = -42m -49 + -42m = -7 + 49m + -49m Combine like terms: 49m + -49m = 0 -49 + -42m = -7 + 0 -49 + -42m = -7 Add '49' to each side of the equation. -49 + 49 + -42m = -7 + 49 Combine like terms: -49 + 49 = 0 0 + -42m = -7 + 49 -42m = -7 + 49 Combine like terms: -7 + 49 = 42 -42m = 42 Divide each side by '-42'. m = -1 Simplifying m = -1
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