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