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Simplifying 6h + 4(2h + -3) = 12h + -32 Reorder the terms: 6h + 4(-3 + 2h) = 12h + -32 6h + (-3 * 4 + 2h * 4) = 12h + -32 6h + (-12 + 8h) = 12h + -32 Reorder the terms: -12 + 6h + 8h = 12h + -32 Combine like terms: 6h + 8h = 14h -12 + 14h = 12h + -32 Reorder the terms: -12 + 14h = -32 + 12h Solving -12 + 14h = -32 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. -12 + 14h + -12h = -32 + 12h + -12h Combine like terms: 14h + -12h = 2h -12 + 2h = -32 + 12h + -12h Combine like terms: 12h + -12h = 0 -12 + 2h = -32 + 0 -12 + 2h = -32 Add '12' to each side of the equation. -12 + 12 + 2h = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 2h = -32 + 12 2h = -32 + 12 Combine like terms: -32 + 12 = -20 2h = -20 Divide each side by '2'. h = -10 Simplifying h = -10
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