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Simplifying 48 = 6(h + 1) Reorder the terms: 48 = 6(1 + h) 48 = (1 * 6 + h * 6) 48 = (6 + 6h) Solving 48 = 6 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 48 + -6h = 6 + 6h + -6h Combine like terms: 6h + -6h = 0 48 + -6h = 6 + 0 48 + -6h = 6 Add '-48' to each side of the equation. 48 + -48 + -6h = 6 + -48 Combine like terms: 48 + -48 = 0 0 + -6h = 6 + -48 -6h = 6 + -48 Combine like terms: 6 + -48 = -42 -6h = -42 Divide each side by '-6'. h = 7 Simplifying h = 7
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