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Simplifying -21 + 8m = 1 + -6(-8 + -3m) -21 + 8m = 1 + (-8 * -6 + -3m * -6) -21 + 8m = 1 + (48 + 18m) Combine like terms: 1 + 48 = 49 -21 + 8m = 49 + 18m Solving -21 + 8m = 49 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. -21 + 8m + -18m = 49 + 18m + -18m Combine like terms: 8m + -18m = -10m -21 + -10m = 49 + 18m + -18m Combine like terms: 18m + -18m = 0 -21 + -10m = 49 + 0 -21 + -10m = 49 Add '21' to each side of the equation. -21 + 21 + -10m = 49 + 21 Combine like terms: -21 + 21 = 0 0 + -10m = 49 + 21 -10m = 49 + 21 Combine like terms: 49 + 21 = 70 -10m = 70 Divide each side by '-10'. m = -7 Simplifying m = -7
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