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Simplifying 8(h + -4) = 7h + 8 Reorder the terms: 8(-4 + h) = 7h + 8 (-4 * 8 + h * 8) = 7h + 8 (-32 + 8h) = 7h + 8 Reorder the terms: -32 + 8h = 8 + 7h Solving -32 + 8h = 8 + 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. -32 + 8h + -7h = 8 + 7h + -7h Combine like terms: 8h + -7h = 1h -32 + 1h = 8 + 7h + -7h Combine like terms: 7h + -7h = 0 -32 + 1h = 8 + 0 -32 + 1h = 8 Add '32' to each side of the equation. -32 + 32 + 1h = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 1h = 8 + 32 1h = 8 + 32 Combine like terms: 8 + 32 = 40 1h = 40 Divide each side by '1'. h = 40 Simplifying h = 40
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