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Simplifying 5(6 + -4) = 8(h + 32) Combine like terms: 6 + -4 = 2 5(2) = 8(h + 32) Multiply 5 * 2 10 = 8(h + 32) Reorder the terms: 10 = 8(32 + h) 10 = (32 * 8 + h * 8) 10 = (256 + 8h) Solving 10 = 256 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. 10 + -8h = 256 + 8h + -8h Combine like terms: 8h + -8h = 0 10 + -8h = 256 + 0 10 + -8h = 256 Add '-10' to each side of the equation. 10 + -10 + -8h = 256 + -10 Combine like terms: 10 + -10 = 0 0 + -8h = 256 + -10 -8h = 256 + -10 Combine like terms: 256 + -10 = 246 -8h = 246 Divide each side by '-8'. h = -30.75 Simplifying h = -30.75
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