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Simplifying -121 = 4(1 + 6m) + -5 -121 = (1 * 4 + 6m * 4) + -5 -121 = (4 + 24m) + -5 Reorder the terms: -121 = 4 + -5 + 24m Combine like terms: 4 + -5 = -1 -121 = -1 + 24m Solving -121 = -1 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -121 + -24m = -1 + 24m + -24m Combine like terms: 24m + -24m = 0 -121 + -24m = -1 + 0 -121 + -24m = -1 Add '121' to each side of the equation. -121 + 121 + -24m = -1 + 121 Combine like terms: -121 + 121 = 0 0 + -24m = -1 + 121 -24m = -1 + 121 Combine like terms: -1 + 121 = 120 -24m = 120 Divide each side by '-24'. m = -5 Simplifying m = -5
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