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Simplifying 4(h + -2) = -9(6 + h) Reorder the terms: 4(-2 + h) = -9(6 + h) (-2 * 4 + h * 4) = -9(6 + h) (-8 + 4h) = -9(6 + h) -8 + 4h = (6 * -9 + h * -9) -8 + 4h = (-54 + -9h) Solving -8 + 4h = -54 + -9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '9h' to each side of the equation. -8 + 4h + 9h = -54 + -9h + 9h Combine like terms: 4h + 9h = 13h -8 + 13h = -54 + -9h + 9h Combine like terms: -9h + 9h = 0 -8 + 13h = -54 + 0 -8 + 13h = -54 Add '8' to each side of the equation. -8 + 8 + 13h = -54 + 8 Combine like terms: -8 + 8 = 0 0 + 13h = -54 + 8 13h = -54 + 8 Combine like terms: -54 + 8 = -46 13h = -46 Divide each side by '13'. h = -3.538461538 Simplifying h = -3.538461538
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