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Simplifying -5(5 + 14m) = 7(3m + -14) + -18 (5 * -5 + 14m * -5) = 7(3m + -14) + -18 (-25 + -70m) = 7(3m + -14) + -18 Reorder the terms: -25 + -70m = 7(-14 + 3m) + -18 -25 + -70m = (-14 * 7 + 3m * 7) + -18 -25 + -70m = (-98 + 21m) + -18 Reorder the terms: -25 + -70m = -98 + -18 + 21m Combine like terms: -98 + -18 = -116 -25 + -70m = -116 + 21m Solving -25 + -70m = -116 + 21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21m' to each side of the equation. -25 + -70m + -21m = -116 + 21m + -21m Combine like terms: -70m + -21m = -91m -25 + -91m = -116 + 21m + -21m Combine like terms: 21m + -21m = 0 -25 + -91m = -116 + 0 -25 + -91m = -116 Add '25' to each side of the equation. -25 + 25 + -91m = -116 + 25 Combine like terms: -25 + 25 = 0 0 + -91m = -116 + 25 -91m = -116 + 25 Combine like terms: -116 + 25 = -91 -91m = -91 Divide each side by '-91'. m = 1 Simplifying m = 1
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