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Simplifying (4m + -8h + 5) + -1(-12m + 15) = 0 Reorder the terms: (5 + -8h + 4m) + -1(-12m + 15) = 0 Remove parenthesis around (5 + -8h + 4m) 5 + -8h + 4m + -1(-12m + 15) = 0 Reorder the terms: 5 + -8h + 4m + -1(15 + -12m) = 0 5 + -8h + 4m + (15 * -1 + -12m * -1) = 0 5 + -8h + 4m + (-15 + 12m) = 0 Reorder the terms: 5 + -15 + -8h + 4m + 12m = 0 Combine like terms: 5 + -15 = -10 -10 + -8h + 4m + 12m = 0 Combine like terms: 4m + 12m = 16m -10 + -8h + 16m = 0 Solving -10 + -8h + 16m = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -8h + 10 + 16m = 0 + 10 Reorder the terms: -10 + 10 + -8h + 16m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -8h + 16m = 0 + 10 -8h + 16m = 0 + 10 Combine like terms: 0 + 10 = 10 -8h + 16m = 10 Add '-16m' to each side of the equation. -8h + 16m + -16m = 10 + -16m Combine like terms: 16m + -16m = 0 -8h + 0 = 10 + -16m -8h = 10 + -16m Divide each side by '-8'. h = -1.25 + 2m Simplifying h = -1.25 + 2m
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