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Simplifying -7m + -21 = 4 + -1(1 + -1m) Reorder the terms: -21 + -7m = 4 + -1(1 + -1m) -21 + -7m = 4 + (1 * -1 + -1m * -1) -21 + -7m = 4 + (-1 + 1m) Combine like terms: 4 + -1 = 3 -21 + -7m = 3 + 1m Solving -21 + -7m = 3 + 1m 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. -21 + -7m + -1m = 3 + 1m + -1m Combine like terms: -7m + -1m = -8m -21 + -8m = 3 + 1m + -1m Combine like terms: 1m + -1m = 0 -21 + -8m = 3 + 0 -21 + -8m = 3 Add '21' to each side of the equation. -21 + 21 + -8m = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -8m = 3 + 21 -8m = 3 + 21 Combine like terms: 3 + 21 = 24 -8m = 24 Divide each side by '-8'. m = -3 Simplifying m = -3
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