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Simplifying 3(h + -4) = -1.5(24 + -6h) Reorder the terms: 3(-4 + h) = -1.5(24 + -6h) (-4 * 3 + h * 3) = -1.5(24 + -6h) (-12 + 3h) = -1.5(24 + -6h) -12 + 3h = (24 * -1.5 + -6h * -1.5) -12 + 3h = (-36 + 9h) Solving -12 + 3h = -36 + 9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9h' to each side of the equation. -12 + 3h + -9h = -36 + 9h + -9h Combine like terms: 3h + -9h = -6h -12 + -6h = -36 + 9h + -9h Combine like terms: 9h + -9h = 0 -12 + -6h = -36 + 0 -12 + -6h = -36 Add '12' to each side of the equation. -12 + 12 + -6h = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -6h = -36 + 12 -6h = -36 + 12 Combine like terms: -36 + 12 = -24 -6h = -24 Divide each side by '-6'. h = 4 Simplifying h = 4
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