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Simplifying -7(7m + 7) + -2m = -457 Reorder the terms: -7(7 + 7m) + -2m = -457 (7 * -7 + 7m * -7) + -2m = -457 (-49 + -49m) + -2m = -457 Combine like terms: -49m + -2m = -51m -49 + -51m = -457 Solving -49 + -51m = -457 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -51m = -457 + 49 Combine like terms: -49 + 49 = 0 0 + -51m = -457 + 49 -51m = -457 + 49 Combine like terms: -457 + 49 = -408 -51m = -408 Divide each side by '-51'. m = 8 Simplifying m = 8
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