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Simplifying 6(m + -7) + 2(3m + -6) = 11(m + -8) + 4 Reorder the terms: 6(-7 + m) + 2(3m + -6) = 11(m + -8) + 4 (-7 * 6 + m * 6) + 2(3m + -6) = 11(m + -8) + 4 (-42 + 6m) + 2(3m + -6) = 11(m + -8) + 4 Reorder the terms: -42 + 6m + 2(-6 + 3m) = 11(m + -8) + 4 -42 + 6m + (-6 * 2 + 3m * 2) = 11(m + -8) + 4 -42 + 6m + (-12 + 6m) = 11(m + -8) + 4 Reorder the terms: -42 + -12 + 6m + 6m = 11(m + -8) + 4 Combine like terms: -42 + -12 = -54 -54 + 6m + 6m = 11(m + -8) + 4 Combine like terms: 6m + 6m = 12m -54 + 12m = 11(m + -8) + 4 Reorder the terms: -54 + 12m = 11(-8 + m) + 4 -54 + 12m = (-8 * 11 + m * 11) + 4 -54 + 12m = (-88 + 11m) + 4 Reorder the terms: -54 + 12m = -88 + 4 + 11m Combine like terms: -88 + 4 = -84 -54 + 12m = -84 + 11m Solving -54 + 12m = -84 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. -54 + 12m + -11m = -84 + 11m + -11m Combine like terms: 12m + -11m = 1m -54 + 1m = -84 + 11m + -11m Combine like terms: 11m + -11m = 0 -54 + 1m = -84 + 0 -54 + 1m = -84 Add '54' to each side of the equation. -54 + 54 + 1m = -84 + 54 Combine like terms: -54 + 54 = 0 0 + 1m = -84 + 54 1m = -84 + 54 Combine like terms: -84 + 54 = -30 1m = -30 Divide each side by '1'. m = -30 Simplifying m = -30
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