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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 = 2 2 + -3h + 12h = 0 Combine like terms: -3h + 12h = 9h 2 + 9h = 0 Solving 2 + 9h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9h = 0 + -2 9h = 0 + -2 Combine like terms: 0 + -2 = -2 9h = -2 Divide each side by '9'. h = -0.2222222222 Simplifying h = -0.2222222222
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