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Simplifying 5(19m + -18) = -8 + -7(-15m + -14) Reorder the terms: 5(-18 + 19m) = -8 + -7(-15m + -14) (-18 * 5 + 19m * 5) = -8 + -7(-15m + -14) (-90 + 95m) = -8 + -7(-15m + -14) Reorder the terms: -90 + 95m = -8 + -7(-14 + -15m) -90 + 95m = -8 + (-14 * -7 + -15m * -7) -90 + 95m = -8 + (98 + 105m) Combine like terms: -8 + 98 = 90 -90 + 95m = 90 + 105m Solving -90 + 95m = 90 + 105m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-105m' to each side of the equation. -90 + 95m + -105m = 90 + 105m + -105m Combine like terms: 95m + -105m = -10m -90 + -10m = 90 + 105m + -105m Combine like terms: 105m + -105m = 0 -90 + -10m = 90 + 0 -90 + -10m = 90 Add '90' to each side of the equation. -90 + 90 + -10m = 90 + 90 Combine like terms: -90 + 90 = 0 0 + -10m = 90 + 90 -10m = 90 + 90 Combine like terms: 90 + 90 = 180 -10m = 180 Divide each side by '-10'. m = -18 Simplifying m = -18
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