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Simplifying 7(7m + 6) = -7(m + -6) Reorder the terms: 7(6 + 7m) = -7(m + -6) (6 * 7 + 7m * 7) = -7(m + -6) (42 + 49m) = -7(m + -6) Reorder the terms: 42 + 49m = -7(-6 + m) 42 + 49m = (-6 * -7 + m * -7) 42 + 49m = (42 + -7m) Add '-42' to each side of the equation. 42 + -42 + 49m = 42 + -42 + -7m Combine like terms: 42 + -42 = 0 0 + 49m = 42 + -42 + -7m 49m = 42 + -42 + -7m Combine like terms: 42 + -42 = 0 49m = 0 + -7m 49m = -7m Solving 49m = -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. 49m + 7m = -7m + 7m Combine like terms: 49m + 7m = 56m 56m = -7m + 7m Combine like terms: -7m + 7m = 0 56m = 0 Divide each side by '56'. m = 0 Simplifying m = 0
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