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Simplifying 4(9h + 2) + 8h = 4(h + -18) Reorder the terms: 4(2 + 9h) + 8h = 4(h + -18) (2 * 4 + 9h * 4) + 8h = 4(h + -18) (8 + 36h) + 8h = 4(h + -18) Combine like terms: 36h + 8h = 44h 8 + 44h = 4(h + -18) Reorder the terms: 8 + 44h = 4(-18 + h) 8 + 44h = (-18 * 4 + h * 4) 8 + 44h = (-72 + 4h) Solving 8 + 44h = -72 + 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. 8 + 44h + -4h = -72 + 4h + -4h Combine like terms: 44h + -4h = 40h 8 + 40h = -72 + 4h + -4h Combine like terms: 4h + -4h = 0 8 + 40h = -72 + 0 8 + 40h = -72 Add '-8' to each side of the equation. 8 + -8 + 40h = -72 + -8 Combine like terms: 8 + -8 = 0 0 + 40h = -72 + -8 40h = -72 + -8 Combine like terms: -72 + -8 = -80 40h = -80 Divide each side by '40'. h = -2 Simplifying h = -2
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