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Simplifying 6(h + -4) + 7(h + 3) + -4(3h + h) = 0 Reorder the terms: 6(-4 + h) + 7(h + 3) + -4(3h + h) = 0 (-4 * 6 + h * 6) + 7(h + 3) + -4(3h + h) = 0 (-24 + 6h) + 7(h + 3) + -4(3h + h) = 0 Reorder the terms: -24 + 6h + 7(3 + h) + -4(3h + h) = 0 -24 + 6h + (3 * 7 + h * 7) + -4(3h + h) = 0 -24 + 6h + (21 + 7h) + -4(3h + h) = 0 Combine like terms: 3h + h = 4h -24 + 6h + 21 + 7h + -4(4h) = 0 Remove parenthesis around (4h) -24 + 6h + 21 + 7h + -4 * 4h = 0 Multiply -4 * 4 -24 + 6h + 21 + 7h + -16h = 0 Reorder the terms: -24 + 21 + 6h + 7h + -16h = 0 Combine like terms: -24 + 21 = -3 -3 + 6h + 7h + -16h = 0 Combine like terms: 6h + 7h = 13h -3 + 13h + -16h = 0 Combine like terms: 13h + -16h = -3h -3 + -3h = 0 Solving -3 + -3h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -3h = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3h = 0 + 3 -3h = 0 + 3 Combine like terms: 0 + 3 = 3 -3h = 3 Divide each side by '-3'. h = -1 Simplifying h = -1
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