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Simplifying 8(h + -1) = 6h + 4 + 27h Reorder the terms: 8(-1 + h) = 6h + 4 + 27h (-1 * 8 + h * 8) = 6h + 4 + 27h (-8 + 8h) = 6h + 4 + 27h Reorder the terms: -8 + 8h = 4 + 6h + 27h Combine like terms: 6h + 27h = 33h -8 + 8h = 4 + 33h Solving -8 + 8h = 4 + 33h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-33h' to each side of the equation. -8 + 8h + -33h = 4 + 33h + -33h Combine like terms: 8h + -33h = -25h -8 + -25h = 4 + 33h + -33h Combine like terms: 33h + -33h = 0 -8 + -25h = 4 + 0 -8 + -25h = 4 Add '8' to each side of the equation. -8 + 8 + -25h = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -25h = 4 + 8 -25h = 4 + 8 Combine like terms: 4 + 8 = 12 -25h = 12 Divide each side by '-25'. h = -0.48 Simplifying h = -0.48
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