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Simplifying 7m + 4(m + 6) = 7(m + -8) + 4 Reorder the terms: 7m + 4(6 + m) = 7(m + -8) + 4 7m + (6 * 4 + m * 4) = 7(m + -8) + 4 7m + (24 + 4m) = 7(m + -8) + 4 Reorder the terms: 24 + 7m + 4m = 7(m + -8) + 4 Combine like terms: 7m + 4m = 11m 24 + 11m = 7(m + -8) + 4 Reorder the terms: 24 + 11m = 7(-8 + m) + 4 24 + 11m = (-8 * 7 + m * 7) + 4 24 + 11m = (-56 + 7m) + 4 Reorder the terms: 24 + 11m = -56 + 4 + 7m Combine like terms: -56 + 4 = -52 24 + 11m = -52 + 7m Solving 24 + 11m = -52 + 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. 24 + 11m + -7m = -52 + 7m + -7m Combine like terms: 11m + -7m = 4m 24 + 4m = -52 + 7m + -7m Combine like terms: 7m + -7m = 0 24 + 4m = -52 + 0 24 + 4m = -52 Add '-24' to each side of the equation. 24 + -24 + 4m = -52 + -24 Combine like terms: 24 + -24 = 0 0 + 4m = -52 + -24 4m = -52 + -24 Combine like terms: -52 + -24 = -76 4m = -76 Divide each side by '4'. m = -19 Simplifying m = -19
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