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Simplifying 3(h + -4) + -2(-6h + 5) = 0 Reorder the terms: 3(-4 + h) + -2(-6h + 5) = 0 (-4 * 3 + h * 3) + -2(-6h + 5) = 0 (-12 + 3h) + -2(-6h + 5) = 0 Reorder the terms: -12 + 3h + -2(5 + -6h) = 0 -12 + 3h + (5 * -2 + -6h * -2) = 0 -12 + 3h + (-10 + 12h) = 0 Reorder the terms: -12 + -10 + 3h + 12h = 0 Combine like terms: -12 + -10 = -22 -22 + 3h + 12h = 0 Combine like terms: 3h + 12h = 15h -22 + 15h = 0 Solving -22 + 15h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 15h = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 15h = 0 + 22 15h = 0 + 22 Combine like terms: 0 + 22 = 22 15h = 22 Divide each side by '15'. h = 1.466666667 Simplifying h = 1.466666667
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