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Simplifying 8(3h + -3) + 8 = 15h + 29 Reorder the terms: 8(-3 + 3h) + 8 = 15h + 29 (-3 * 8 + 3h * 8) + 8 = 15h + 29 (-24 + 24h) + 8 = 15h + 29 Reorder the terms: -24 + 8 + 24h = 15h + 29 Combine like terms: -24 + 8 = -16 -16 + 24h = 15h + 29 Reorder the terms: -16 + 24h = 29 + 15h Solving -16 + 24h = 29 + 15h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-15h' to each side of the equation. -16 + 24h + -15h = 29 + 15h + -15h Combine like terms: 24h + -15h = 9h -16 + 9h = 29 + 15h + -15h Combine like terms: 15h + -15h = 0 -16 + 9h = 29 + 0 -16 + 9h = 29 Add '16' to each side of the equation. -16 + 16 + 9h = 29 + 16 Combine like terms: -16 + 16 = 0 0 + 9h = 29 + 16 9h = 29 + 16 Combine like terms: 29 + 16 = 45 9h = 45 Divide each side by '9'. h = 5 Simplifying h = 5
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