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Simplifying -2(1.5h + 5) + -4(-0.5 + 3h) = 0 Reorder the terms: -2(5 + 1.5h) + -4(-0.5 + 3h) = 0 (5 * -2 + 1.5h * -2) + -4(-0.5 + 3h) = 0 (-10 + -3h) + -4(-0.5 + 3h) = 0 -10 + -3h + (-0.5 * -4 + 3h * -4) = 0 -10 + -3h + (2 + -12h) = 0 Reorder the terms: -10 + 2 + -3h + -12h = 0 Combine like terms: -10 + 2 = -8 -8 + -3h + -12h = 0 Combine like terms: -3h + -12h = -15h -8 + -15h = 0 Solving -8 + -15h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -15h = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -15h = 0 + 8 -15h = 0 + 8 Combine like terms: 0 + 8 = 8 -15h = 8 Divide each side by '-15'. h = -0.5333333333 Simplifying h = -0.5333333333
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