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Simplifying 5(3h + -2) = 29(h + 8) Reorder the terms: 5(-2 + 3h) = 29(h + 8) (-2 * 5 + 3h * 5) = 29(h + 8) (-10 + 15h) = 29(h + 8) Reorder the terms: -10 + 15h = 29(8 + h) -10 + 15h = (8 * 29 + h * 29) -10 + 15h = (232 + 29h) Solving -10 + 15h = 232 + 29h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-29h' to each side of the equation. -10 + 15h + -29h = 232 + 29h + -29h Combine like terms: 15h + -29h = -14h -10 + -14h = 232 + 29h + -29h Combine like terms: 29h + -29h = 0 -10 + -14h = 232 + 0 -10 + -14h = 232 Add '10' to each side of the equation. -10 + 10 + -14h = 232 + 10 Combine like terms: -10 + 10 = 0 0 + -14h = 232 + 10 -14h = 232 + 10 Combine like terms: 232 + 10 = 242 -14h = 242 Divide each side by '-14'. h = -17.28571429 Simplifying h = -17.28571429
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