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Simplifying 3h + 5h + -9 = 4(3h + 4) + -1 Reorder the terms: -9 + 3h + 5h = 4(3h + 4) + -1 Combine like terms: 3h + 5h = 8h -9 + 8h = 4(3h + 4) + -1 Reorder the terms: -9 + 8h = 4(4 + 3h) + -1 -9 + 8h = (4 * 4 + 3h * 4) + -1 -9 + 8h = (16 + 12h) + -1 Reorder the terms: -9 + 8h = 16 + -1 + 12h Combine like terms: 16 + -1 = 15 -9 + 8h = 15 + 12h Solving -9 + 8h = 15 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. -9 + 8h + -12h = 15 + 12h + -12h Combine like terms: 8h + -12h = -4h -9 + -4h = 15 + 12h + -12h Combine like terms: 12h + -12h = 0 -9 + -4h = 15 + 0 -9 + -4h = 15 Add '9' to each side of the equation. -9 + 9 + -4h = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -4h = 15 + 9 -4h = 15 + 9 Combine like terms: 15 + 9 = 24 -4h = 24 Divide each side by '-4'. h = -6 Simplifying h = -6
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