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Simplifying -6m + -5(7m + 1) = 282 Reorder the terms: -6m + -5(1 + 7m) = 282 -6m + (1 * -5 + 7m * -5) = 282 -6m + (-5 + -35m) = 282 Reorder the terms: -5 + -6m + -35m = 282 Combine like terms: -6m + -35m = -41m -5 + -41m = 282 Solving -5 + -41m = 282 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -41m = 282 + 5 Combine like terms: -5 + 5 = 0 0 + -41m = 282 + 5 -41m = 282 + 5 Combine like terms: 282 + 5 = 287 -41m = 287 Divide each side by '-41'. m = -7 Simplifying m = -7
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