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Simplifying 3[5x + -1(m + 4)] = -4(m + -6) Reorder the terms: 3[5x + -1(4 + m)] = -4(m + -6) 3[5x + (4 * -1 + m * -1)] = -4(m + -6) 3[5x + (-4 + -1m)] = -4(m + -6) Reorder the terms: 3[-4 + -1m + 5x] = -4(m + -6) [-4 * 3 + -1m * 3 + 5x * 3] = -4(m + -6) [-12 + -3m + 15x] = -4(m + -6) Reorder the terms: -12 + -3m + 15x = -4(-6 + m) -12 + -3m + 15x = (-6 * -4 + m * -4) -12 + -3m + 15x = (24 + -4m) Solving -12 + -3m + 15x = 24 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -12 + -3m + 4m + 15x = 24 + -4m + 4m Combine like terms: -3m + 4m = 1m -12 + 1m + 15x = 24 + -4m + 4m Combine like terms: -4m + 4m = 0 -12 + 1m + 15x = 24 + 0 -12 + 1m + 15x = 24 Add '12' to each side of the equation. -12 + 1m + 12 + 15x = 24 + 12 Reorder the terms: -12 + 12 + 1m + 15x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 1m + 15x = 24 + 12 1m + 15x = 24 + 12 Combine like terms: 24 + 12 = 36 1m + 15x = 36 Add '-15x' to each side of the equation. 1m + 15x + -15x = 36 + -15x Combine like terms: 15x + -15x = 0 1m + 0 = 36 + -15x 1m = 36 + -15x Divide each side by '1'. m = 36 + -15x Simplifying m = 36 + -15x
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