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Simplifying -294 = -7(7m + -6) + -7m Reorder the terms: -294 = -7(-6 + 7m) + -7m -294 = (-6 * -7 + 7m * -7) + -7m -294 = (42 + -49m) + -7m Combine like terms: -49m + -7m = -56m -294 = 42 + -56m Solving -294 = 42 + -56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '56m' to each side of the equation. -294 + 56m = 42 + -56m + 56m Combine like terms: -56m + 56m = 0 -294 + 56m = 42 + 0 -294 + 56m = 42 Add '294' to each side of the equation. -294 + 294 + 56m = 42 + 294 Combine like terms: -294 + 294 = 0 0 + 56m = 42 + 294 56m = 42 + 294 Combine like terms: 42 + 294 = 336 56m = 336 Divide each side by '56'. m = 6 Simplifying m = 6
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