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Simplifying 6 + -1(m + -5) + -21 = m + -11 + 17 Reorder the terms: 6 + -1(-5 + m) + -21 = m + -11 + 17 6 + (-5 * -1 + m * -1) + -21 = m + -11 + 17 6 + (5 + -1m) + -21 = m + -11 + 17 Reorder the terms: 6 + 5 + -21 + -1m = m + -11 + 17 Combine like terms: 6 + 5 = 11 11 + -21 + -1m = m + -11 + 17 Combine like terms: 11 + -21 = -10 -10 + -1m = m + -11 + 17 Reorder the terms: -10 + -1m = -11 + 17 + m Combine like terms: -11 + 17 = 6 -10 + -1m = 6 + m Solving -10 + -1m = 6 + 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. -10 + -1m + -1m = 6 + m + -1m Combine like terms: -1m + -1m = -2m -10 + -2m = 6 + m + -1m Combine like terms: m + -1m = 0 -10 + -2m = 6 + 0 -10 + -2m = 6 Add '10' to each side of the equation. -10 + 10 + -2m = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -2m = 6 + 10 -2m = 6 + 10 Combine like terms: 6 + 10 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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