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Simplifying 9(2m + -5) + -3(7m + 3) = 0 Reorder the terms: 9(-5 + 2m) + -3(7m + 3) = 0 (-5 * 9 + 2m * 9) + -3(7m + 3) = 0 (-45 + 18m) + -3(7m + 3) = 0 Reorder the terms: -45 + 18m + -3(3 + 7m) = 0 -45 + 18m + (3 * -3 + 7m * -3) = 0 -45 + 18m + (-9 + -21m) = 0 Reorder the terms: -45 + -9 + 18m + -21m = 0 Combine like terms: -45 + -9 = -54 -54 + 18m + -21m = 0 Combine like terms: 18m + -21m = -3m -54 + -3m = 0 Solving -54 + -3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -3m = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -3m = 0 + 54 -3m = 0 + 54 Combine like terms: 0 + 54 = 54 -3m = 54 Divide each side by '-3'. m = -18 Simplifying m = -18
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