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Simplifying 4h + 4(4h + -2) = 4(3h + -4) + 12 Reorder the terms: 4h + 4(-2 + 4h) = 4(3h + -4) + 12 4h + (-2 * 4 + 4h * 4) = 4(3h + -4) + 12 4h + (-8 + 16h) = 4(3h + -4) + 12 Reorder the terms: -8 + 4h + 16h = 4(3h + -4) + 12 Combine like terms: 4h + 16h = 20h -8 + 20h = 4(3h + -4) + 12 Reorder the terms: -8 + 20h = 4(-4 + 3h) + 12 -8 + 20h = (-4 * 4 + 3h * 4) + 12 -8 + 20h = (-16 + 12h) + 12 Reorder the terms: -8 + 20h = -16 + 12 + 12h Combine like terms: -16 + 12 = -4 -8 + 20h = -4 + 12h Solving -8 + 20h = -4 + 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. -8 + 20h + -12h = -4 + 12h + -12h Combine like terms: 20h + -12h = 8h -8 + 8h = -4 + 12h + -12h Combine like terms: 12h + -12h = 0 -8 + 8h = -4 + 0 -8 + 8h = -4 Add '8' to each side of the equation. -8 + 8 + 8h = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 8h = -4 + 8 8h = -4 + 8 Combine like terms: -4 + 8 = 4 8h = 4 Divide each side by '8'. h = 0.5 Simplifying h = 0.5
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