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Simplifying -1(-1 + -7m) + -6(-4m + 4) = -54 (-1 * -1 + -7m * -1) + -6(-4m + 4) = -54 (1 + 7m) + -6(-4m + 4) = -54 Reorder the terms: 1 + 7m + -6(4 + -4m) = -54 1 + 7m + (4 * -6 + -4m * -6) = -54 1 + 7m + (-24 + 24m) = -54 Reorder the terms: 1 + -24 + 7m + 24m = -54 Combine like terms: 1 + -24 = -23 -23 + 7m + 24m = -54 Combine like terms: 7m + 24m = 31m -23 + 31m = -54 Solving -23 + 31m = -54 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 31m = -54 + 23 Combine like terms: -23 + 23 = 0 0 + 31m = -54 + 23 31m = -54 + 23 Combine like terms: -54 + 23 = -31 31m = -31 Divide each side by '31'. m = -1 Simplifying m = -1
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