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Simplifying 46 = -8(-4h + 1) + -3(6h + -4) Reorder the terms: 46 = -8(1 + -4h) + -3(6h + -4) 46 = (1 * -8 + -4h * -8) + -3(6h + -4) 46 = (-8 + 32h) + -3(6h + -4) Reorder the terms: 46 = -8 + 32h + -3(-4 + 6h) 46 = -8 + 32h + (-4 * -3 + 6h * -3) 46 = -8 + 32h + (12 + -18h) Reorder the terms: 46 = -8 + 12 + 32h + -18h Combine like terms: -8 + 12 = 4 46 = 4 + 32h + -18h Combine like terms: 32h + -18h = 14h 46 = 4 + 14h Solving 46 = 4 + 14h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-14h' to each side of the equation. 46 + -14h = 4 + 14h + -14h Combine like terms: 14h + -14h = 0 46 + -14h = 4 + 0 46 + -14h = 4 Add '-46' to each side of the equation. 46 + -46 + -14h = 4 + -46 Combine like terms: 46 + -46 = 0 0 + -14h = 4 + -46 -14h = 4 + -46 Combine like terms: 4 + -46 = -42 -14h = -42 Divide each side by '-14'. h = 3 Simplifying h = 3
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