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Simplifying 4(2 + -1m) + -21 = m + 7 (2 * 4 + -1m * 4) + -21 = m + 7 (8 + -4m) + -21 = m + 7 Reorder the terms: 8 + -21 + -4m = m + 7 Combine like terms: 8 + -21 = -13 -13 + -4m = m + 7 Reorder the terms: -13 + -4m = 7 + m Solving -13 + -4m = 7 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -13 + -4m + -1m = 7 + m + -1m Combine like terms: -4m + -1m = -5m -13 + -5m = 7 + m + -1m Combine like terms: m + -1m = 0 -13 + -5m = 7 + 0 -13 + -5m = 7 Add '13' to each side of the equation. -13 + 13 + -5m = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -5m = 7 + 13 -5m = 7 + 13 Combine like terms: 7 + 13 = 20 -5m = 20 Divide each side by '-5'. m = -4 Simplifying m = -4
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