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Simplifying 4(m + 4) + 8(-12m + 11) = m + -8 + 8m + 11 Reorder the terms: 4(4 + m) + 8(-12m + 11) = m + -8 + 8m + 11 (4 * 4 + m * 4) + 8(-12m + 11) = m + -8 + 8m + 11 (16 + 4m) + 8(-12m + 11) = m + -8 + 8m + 11 Reorder the terms: 16 + 4m + 8(11 + -12m) = m + -8 + 8m + 11 16 + 4m + (11 * 8 + -12m * 8) = m + -8 + 8m + 11 16 + 4m + (88 + -96m) = m + -8 + 8m + 11 Reorder the terms: 16 + 88 + 4m + -96m = m + -8 + 8m + 11 Combine like terms: 16 + 88 = 104 104 + 4m + -96m = m + -8 + 8m + 11 Combine like terms: 4m + -96m = -92m 104 + -92m = m + -8 + 8m + 11 Reorder the terms: 104 + -92m = -8 + 11 + m + 8m Combine like terms: -8 + 11 = 3 104 + -92m = 3 + m + 8m Combine like terms: m + 8m = 9m 104 + -92m = 3 + 9m Solving 104 + -92m = 3 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 104 + -92m + -9m = 3 + 9m + -9m Combine like terms: -92m + -9m = -101m 104 + -101m = 3 + 9m + -9m Combine like terms: 9m + -9m = 0 104 + -101m = 3 + 0 104 + -101m = 3 Add '-104' to each side of the equation. 104 + -104 + -101m = 3 + -104 Combine like terms: 104 + -104 = 0 0 + -101m = 3 + -104 -101m = 3 + -104 Combine like terms: 3 + -104 = -101 -101m = -101 Divide each side by '-101'. m = 1 Simplifying m = 1
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