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Simplifying 8 + 3(h + -5) = 2(5h + 1) + -6h Reorder the terms: 8 + 3(-5 + h) = 2(5h + 1) + -6h 8 + (-5 * 3 + h * 3) = 2(5h + 1) + -6h 8 + (-15 + 3h) = 2(5h + 1) + -6h Combine like terms: 8 + -15 = -7 -7 + 3h = 2(5h + 1) + -6h Reorder the terms: -7 + 3h = 2(1 + 5h) + -6h -7 + 3h = (1 * 2 + 5h * 2) + -6h -7 + 3h = (2 + 10h) + -6h Combine like terms: 10h + -6h = 4h -7 + 3h = 2 + 4h Solving -7 + 3h = 2 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. -7 + 3h + -4h = 2 + 4h + -4h Combine like terms: 3h + -4h = -1h -7 + -1h = 2 + 4h + -4h Combine like terms: 4h + -4h = 0 -7 + -1h = 2 + 0 -7 + -1h = 2 Add '7' to each side of the equation. -7 + 7 + -1h = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -1h = 2 + 7 -1h = 2 + 7 Combine like terms: 2 + 7 = 9 -1h = 9 Divide each side by '-1'. h = -9 Simplifying h = -9
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