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Simplifying 7 + -8(3h + -4) = 23 + 7h + -3 Reorder the terms: 7 + -8(-4 + 3h) = 23 + 7h + -3 7 + (-4 * -8 + 3h * -8) = 23 + 7h + -3 7 + (32 + -24h) = 23 + 7h + -3 Combine like terms: 7 + 32 = 39 39 + -24h = 23 + 7h + -3 Reorder the terms: 39 + -24h = 23 + -3 + 7h Combine like terms: 23 + -3 = 20 39 + -24h = 20 + 7h Solving 39 + -24h = 20 + 7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7h' to each side of the equation. 39 + -24h + -7h = 20 + 7h + -7h Combine like terms: -24h + -7h = -31h 39 + -31h = 20 + 7h + -7h Combine like terms: 7h + -7h = 0 39 + -31h = 20 + 0 39 + -31h = 20 Add '-39' to each side of the equation. 39 + -39 + -31h = 20 + -39 Combine like terms: 39 + -39 = 0 0 + -31h = 20 + -39 -31h = 20 + -39 Combine like terms: 20 + -39 = -19 -31h = -19 Divide each side by '-31'. h = 0.6129032258 Simplifying h = 0.6129032258
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