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Simplifying 2(3h + -4) = 9 + 3(h + -4) + 7h Reorder the terms: 2(-4 + 3h) = 9 + 3(h + -4) + 7h (-4 * 2 + 3h * 2) = 9 + 3(h + -4) + 7h (-8 + 6h) = 9 + 3(h + -4) + 7h Reorder the terms: -8 + 6h = 9 + 3(-4 + h) + 7h -8 + 6h = 9 + (-4 * 3 + h * 3) + 7h -8 + 6h = 9 + (-12 + 3h) + 7h Combine like terms: 9 + -12 = -3 -8 + 6h = -3 + 3h + 7h Combine like terms: 3h + 7h = 10h -8 + 6h = -3 + 10h Solving -8 + 6h = -3 + 10h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-10h' to each side of the equation. -8 + 6h + -10h = -3 + 10h + -10h Combine like terms: 6h + -10h = -4h -8 + -4h = -3 + 10h + -10h Combine like terms: 10h + -10h = 0 -8 + -4h = -3 + 0 -8 + -4h = -3 Add '8' to each side of the equation. -8 + 8 + -4h = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -4h = -3 + 8 -4h = -3 + 8 Combine like terms: -3 + 8 = 5 -4h = 5 Divide each side by '-4'. h = -1.25 Simplifying h = -1.25
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