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Simplifying 7(9 + -7m) + 19 = -163 (9 * 7 + -7m * 7) + 19 = -163 (63 + -49m) + 19 = -163 Reorder the terms: 63 + 19 + -49m = -163 Combine like terms: 63 + 19 = 82 82 + -49m = -163 Solving 82 + -49m = -163 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + -49m = -163 + -82 Combine like terms: 82 + -82 = 0 0 + -49m = -163 + -82 -49m = -163 + -82 Combine like terms: -163 + -82 = -245 -49m = -245 Divide each side by '-49'. m = 5 Simplifying m = 5
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