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Simplifying 4(-16h + 2) + -18h = 7(-12h + 16) Reorder the terms: 4(2 + -16h) + -18h = 7(-12h + 16) (2 * 4 + -16h * 4) + -18h = 7(-12h + 16) (8 + -64h) + -18h = 7(-12h + 16) Combine like terms: -64h + -18h = -82h 8 + -82h = 7(-12h + 16) Reorder the terms: 8 + -82h = 7(16 + -12h) 8 + -82h = (16 * 7 + -12h * 7) 8 + -82h = (112 + -84h) Solving 8 + -82h = 112 + -84h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '84h' to each side of the equation. 8 + -82h + 84h = 112 + -84h + 84h Combine like terms: -82h + 84h = 2h 8 + 2h = 112 + -84h + 84h Combine like terms: -84h + 84h = 0 8 + 2h = 112 + 0 8 + 2h = 112 Add '-8' to each side of the equation. 8 + -8 + 2h = 112 + -8 Combine like terms: 8 + -8 = 0 0 + 2h = 112 + -8 2h = 112 + -8 Combine like terms: 112 + -8 = 104 2h = 104 Divide each side by '2'. h = 52 Simplifying h = 52
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