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Simplifying 2[m + 3(2m + -3)] = 6(m + -7) Reorder the terms: 2[m + 3(-3 + 2m)] = 6(m + -7) 2[m + (-3 * 3 + 2m * 3)] = 6(m + -7) 2[m + (-9 + 6m)] = 6(m + -7) Reorder the terms: 2[-9 + m + 6m] = 6(m + -7) Combine like terms: m + 6m = 7m 2[-9 + 7m] = 6(m + -7) [-9 * 2 + 7m * 2] = 6(m + -7) [-18 + 14m] = 6(m + -7) Reorder the terms: -18 + 14m = 6(-7 + m) -18 + 14m = (-7 * 6 + m * 6) -18 + 14m = (-42 + 6m) Solving -18 + 14m = -42 + 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. -18 + 14m + -6m = -42 + 6m + -6m Combine like terms: 14m + -6m = 8m -18 + 8m = -42 + 6m + -6m Combine like terms: 6m + -6m = 0 -18 + 8m = -42 + 0 -18 + 8m = -42 Add '18' to each side of the equation. -18 + 18 + 8m = -42 + 18 Combine like terms: -18 + 18 = 0 0 + 8m = -42 + 18 8m = -42 + 18 Combine like terms: -42 + 18 = -24 8m = -24 Divide each side by '8'. m = -3 Simplifying m = -3
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