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Simplifying -27 + 3h = 8(4h + 5) Reorder the terms: -27 + 3h = 8(5 + 4h) -27 + 3h = (5 * 8 + 4h * 8) -27 + 3h = (40 + 32h) Solving -27 + 3h = 40 + 32h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-32h' to each side of the equation. -27 + 3h + -32h = 40 + 32h + -32h Combine like terms: 3h + -32h = -29h -27 + -29h = 40 + 32h + -32h Combine like terms: 32h + -32h = 0 -27 + -29h = 40 + 0 -27 + -29h = 40 Add '27' to each side of the equation. -27 + 27 + -29h = 40 + 27 Combine like terms: -27 + 27 = 0 0 + -29h = 40 + 27 -29h = 40 + 27 Combine like terms: 40 + 27 = 67 -29h = 67 Divide each side by '-29'. h = -2.310344828 Simplifying h = -2.310344828
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