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Simplifying 2[m + -1(2m + 7) + 3] = 2(m + 4) Reorder the terms: 2[m + -1(7 + 2m) + 3] = 2(m + 4) 2[m + (7 * -1 + 2m * -1) + 3] = 2(m + 4) 2[m + (-7 + -2m) + 3] = 2(m + 4) Reorder the terms: 2[-7 + 3 + m + -2m] = 2(m + 4) Combine like terms: -7 + 3 = -4 2[-4 + m + -2m] = 2(m + 4) Combine like terms: m + -2m = -1m 2[-4 + -1m] = 2(m + 4) [-4 * 2 + -1m * 2] = 2(m + 4) [-8 + -2m] = 2(m + 4) Reorder the terms: -8 + -2m = 2(4 + m) -8 + -2m = (4 * 2 + m * 2) -8 + -2m = (8 + 2m) Solving -8 + -2m = 8 + 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. -8 + -2m + -2m = 8 + 2m + -2m Combine like terms: -2m + -2m = -4m -8 + -4m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 -8 + -4m = 8 + 0 -8 + -4m = 8 Add '8' to each side of the equation. -8 + 8 + -4m = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4m = 8 + 8 -4m = 8 + 8 Combine like terms: 8 + 8 = 16 -4m = 16 Divide each side by '-4'. m = -4 Simplifying m = -4
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