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Simplifying 4 + 3(h + 1) = 4h + 6 Reorder the terms: 4 + 3(1 + h) = 4h + 6 4 + (1 * 3 + h * 3) = 4h + 6 4 + (3 + 3h) = 4h + 6 Combine like terms: 4 + 3 = 7 7 + 3h = 4h + 6 Reorder the terms: 7 + 3h = 6 + 4h Solving 7 + 3h = 6 + 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 = 6 + 4h + -4h Combine like terms: 3h + -4h = -1h 7 + -1h = 6 + 4h + -4h Combine like terms: 4h + -4h = 0 7 + -1h = 6 + 0 7 + -1h = 6 Add '-7' to each side of the equation. 7 + -7 + -1h = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1h = 6 + -7 -1h = 6 + -7 Combine like terms: 6 + -7 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1
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