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Simplifying 3(2h + -5) = 3 + -4(h + 3) Reorder the terms: 3(-5 + 2h) = 3 + -4(h + 3) (-5 * 3 + 2h * 3) = 3 + -4(h + 3) (-15 + 6h) = 3 + -4(h + 3) Reorder the terms: -15 + 6h = 3 + -4(3 + h) -15 + 6h = 3 + (3 * -4 + h * -4) -15 + 6h = 3 + (-12 + -4h) Combine like terms: 3 + -12 = -9 -15 + 6h = -9 + -4h Solving -15 + 6h = -9 + -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. -15 + 6h + 4h = -9 + -4h + 4h Combine like terms: 6h + 4h = 10h -15 + 10h = -9 + -4h + 4h Combine like terms: -4h + 4h = 0 -15 + 10h = -9 + 0 -15 + 10h = -9 Add '15' to each side of the equation. -15 + 15 + 10h = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 10h = -9 + 15 10h = -9 + 15 Combine like terms: -9 + 15 = 6 10h = 6 Divide each side by '10'. h = 0.6 Simplifying h = 0.6
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