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Simplifying -4(1.5h + 2) + -5(-0.4 + 3h) = 0 Reorder the terms: -4(2 + 1.5h) + -5(-0.4 + 3h) = 0 (2 * -4 + 1.5h * -4) + -5(-0.4 + 3h) = 0 (-8 + -6h) + -5(-0.4 + 3h) = 0 -8 + -6h + (-0.4 * -5 + 3h * -5) = 0 -8 + -6h + (2 + -15h) = 0 Reorder the terms: -8 + 2 + -6h + -15h = 0 Combine like terms: -8 + 2 = -6 -6 + -6h + -15h = 0 Combine like terms: -6h + -15h = -21h -6 + -21h = 0 Solving -6 + -21h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -21h = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -21h = 0 + 6 -21h = 0 + 6 Combine like terms: 0 + 6 = 6 -21h = 6 Divide each side by '-21'. h = -0.2857142857 Simplifying h = -0.2857142857
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