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Simplifying 3h + -2(4h + -5) + -3(m + -2) = 8m + 31 Reorder the terms: 3h + -2(-5 + 4h) + -3(m + -2) = 8m + 31 3h + (-5 * -2 + 4h * -2) + -3(m + -2) = 8m + 31 3h + (10 + -8h) + -3(m + -2) = 8m + 31 Reorder the terms: 3h + 10 + -8h + -3(-2 + m) = 8m + 31 3h + 10 + -8h + (-2 * -3 + m * -3) = 8m + 31 3h + 10 + -8h + (6 + -3m) = 8m + 31 Reorder the terms: 10 + 6 + 3h + -8h + -3m = 8m + 31 Combine like terms: 10 + 6 = 16 16 + 3h + -8h + -3m = 8m + 31 Combine like terms: 3h + -8h = -5h 16 + -5h + -3m = 8m + 31 Reorder the terms: 16 + -5h + -3m = 31 + 8m Solving 16 + -5h + -3m = 31 + 8m Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -5h + -16 + -3m = 31 + -16 + 8m Reorder the terms: 16 + -16 + -5h + -3m = 31 + -16 + 8m Combine like terms: 16 + -16 = 0 0 + -5h + -3m = 31 + -16 + 8m -5h + -3m = 31 + -16 + 8m Combine like terms: 31 + -16 = 15 -5h + -3m = 15 + 8m Add '3m' to each side of the equation. -5h + -3m + 3m = 15 + 8m + 3m Combine like terms: -3m + 3m = 0 -5h + 0 = 15 + 8m + 3m -5h = 15 + 8m + 3m Combine like terms: 8m + 3m = 11m -5h = 15 + 11m Divide each side by '-5'. h = -3 + -2.2m Simplifying h = -3 + -2.2m
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