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Simplifying 2[m + -1(2m + 19) + 14] = 2(m + 5) Reorder the terms: 2[m + -1(19 + 2m) + 14] = 2(m + 5) 2[m + (19 * -1 + 2m * -1) + 14] = 2(m + 5) 2[m + (-19 + -2m) + 14] = 2(m + 5) Reorder the terms: 2[-19 + 14 + m + -2m] = 2(m + 5) Combine like terms: -19 + 14 = -5 2[-5 + m + -2m] = 2(m + 5) Combine like terms: m + -2m = -1m 2[-5 + -1m] = 2(m + 5) [-5 * 2 + -1m * 2] = 2(m + 5) [-10 + -2m] = 2(m + 5) Reorder the terms: -10 + -2m = 2(5 + m) -10 + -2m = (5 * 2 + m * 2) -10 + -2m = (10 + 2m) Solving -10 + -2m = 10 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -10 + -2m + -2m = 10 + 2m + -2m Combine like terms: -2m + -2m = -4m -10 + -4m = 10 + 2m + -2m Combine like terms: 2m + -2m = 0 -10 + -4m = 10 + 0 -10 + -4m = 10 Add '10' to each side of the equation. -10 + 10 + -4m = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -4m = 10 + 10 -4m = 10 + 10 Combine like terms: 10 + 10 = 20 -4m = 20 Divide each side by '-4'. m = -5 Simplifying m = -5
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