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Simplifying 6(m + -8) = -34 + 8m Reorder the terms: 6(-8 + m) = -34 + 8m (-8 * 6 + m * 6) = -34 + 8m (-48 + 6m) = -34 + 8m Solving -48 + 6m = -34 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -48 + 6m + -8m = -34 + 8m + -8m Combine like terms: 6m + -8m = -2m -48 + -2m = -34 + 8m + -8m Combine like terms: 8m + -8m = 0 -48 + -2m = -34 + 0 -48 + -2m = -34 Add '48' to each side of the equation. -48 + 48 + -2m = -34 + 48 Combine like terms: -48 + 48 = 0 0 + -2m = -34 + 48 -2m = -34 + 48 Combine like terms: -34 + 48 = 14 -2m = 14 Divide each side by '-2'. m = -7 Simplifying m = -7
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