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Simplifying -4 + 3(h + 1) = 3(h + 1) + h Reorder the terms: -4 + 3(1 + h) = 3(h + 1) + h -4 + (1 * 3 + h * 3) = 3(h + 1) + h -4 + (3 + 3h) = 3(h + 1) + h Combine like terms: -4 + 3 = -1 -1 + 3h = 3(h + 1) + h Reorder the terms: -1 + 3h = 3(1 + h) + h -1 + 3h = (1 * 3 + h * 3) + h -1 + 3h = (3 + 3h) + h Combine like terms: 3h + h = 4h -1 + 3h = 3 + 4h Solving -1 + 3h = 3 + 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. -1 + 3h + -4h = 3 + 4h + -4h Combine like terms: 3h + -4h = -1h -1 + -1h = 3 + 4h + -4h Combine like terms: 4h + -4h = 0 -1 + -1h = 3 + 0 -1 + -1h = 3 Add '1' to each side of the equation. -1 + 1 + -1h = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -1h = 3 + 1 -1h = 3 + 1 Combine like terms: 3 + 1 = 4 -1h = 4 Divide each side by '-1'. h = -4 Simplifying h = -4
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