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Simplifying 8(m + -3) + -10 = 6(m + -4) Reorder the terms: 8(-3 + m) + -10 = 6(m + -4) (-3 * 8 + m * 8) + -10 = 6(m + -4) (-24 + 8m) + -10 = 6(m + -4) Reorder the terms: -24 + -10 + 8m = 6(m + -4) Combine like terms: -24 + -10 = -34 -34 + 8m = 6(m + -4) Reorder the terms: -34 + 8m = 6(-4 + m) -34 + 8m = (-4 * 6 + m * 6) -34 + 8m = (-24 + 6m) Solving -34 + 8m = -24 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -34 + 8m + -6m = -24 + 6m + -6m Combine like terms: 8m + -6m = 2m -34 + 2m = -24 + 6m + -6m Combine like terms: 6m + -6m = 0 -34 + 2m = -24 + 0 -34 + 2m = -24 Add '34' to each side of the equation. -34 + 34 + 2m = -24 + 34 Combine like terms: -34 + 34 = 0 0 + 2m = -24 + 34 2m = -24 + 34 Combine like terms: -24 + 34 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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