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Simplifying 4(h + -3) = 2(h + 5) Reorder the terms: 4(-3 + h) = 2(h + 5) (-3 * 4 + h * 4) = 2(h + 5) (-12 + 4h) = 2(h + 5) Reorder the terms: -12 + 4h = 2(5 + h) -12 + 4h = (5 * 2 + h * 2) -12 + 4h = (10 + 2h) Solving -12 + 4h = 10 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. -12 + 4h + -2h = 10 + 2h + -2h Combine like terms: 4h + -2h = 2h -12 + 2h = 10 + 2h + -2h Combine like terms: 2h + -2h = 0 -12 + 2h = 10 + 0 -12 + 2h = 10 Add '12' to each side of the equation. -12 + 12 + 2h = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 2h = 10 + 12 2h = 10 + 12 Combine like terms: 10 + 12 = 22 2h = 22 Divide each side by '2'. h = 11 Simplifying h = 11
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