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Simplifying -7(m + 6) = 2(-3 + -1) + 9m Reorder the terms: -7(6 + m) = 2(-3 + -1) + 9m (6 * -7 + m * -7) = 2(-3 + -1) + 9m (-42 + -7m) = 2(-3 + -1) + 9m Combine like terms: -3 + -1 = -4 -42 + -7m = 2(-4) + 9m Multiply 2 * -4 -42 + -7m = -8 + 9m Solving -42 + -7m = -8 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -42 + -7m + -9m = -8 + 9m + -9m Combine like terms: -7m + -9m = -16m -42 + -16m = -8 + 9m + -9m Combine like terms: 9m + -9m = 0 -42 + -16m = -8 + 0 -42 + -16m = -8 Add '42' to each side of the equation. -42 + 42 + -16m = -8 + 42 Combine like terms: -42 + 42 = 0 0 + -16m = -8 + 42 -16m = -8 + 42 Combine like terms: -8 + 42 = 34 -16m = 34 Divide each side by '-16'. m = -2.125 Simplifying m = -2.125
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