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Simplifying 3 + 2(h + -5) = 4(4h + 7) + -12h Reorder the terms: 3 + 2(-5 + h) = 4(4h + 7) + -12h 3 + (-5 * 2 + h * 2) = 4(4h + 7) + -12h 3 + (-10 + 2h) = 4(4h + 7) + -12h Combine like terms: 3 + -10 = -7 -7 + 2h = 4(4h + 7) + -12h Reorder the terms: -7 + 2h = 4(7 + 4h) + -12h -7 + 2h = (7 * 4 + 4h * 4) + -12h -7 + 2h = (28 + 16h) + -12h Combine like terms: 16h + -12h = 4h -7 + 2h = 28 + 4h Solving -7 + 2h = 28 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. -7 + 2h + -4h = 28 + 4h + -4h Combine like terms: 2h + -4h = -2h -7 + -2h = 28 + 4h + -4h Combine like terms: 4h + -4h = 0 -7 + -2h = 28 + 0 -7 + -2h = 28 Add '7' to each side of the equation. -7 + 7 + -2h = 28 + 7 Combine like terms: -7 + 7 = 0 0 + -2h = 28 + 7 -2h = 28 + 7 Combine like terms: 28 + 7 = 35 -2h = 35 Divide each side by '-2'. h = -17.5 Simplifying h = -17.5
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