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Simplifying -8(4h + 9) + 2(2h + -3) = -1h + 3(h + -6) Reorder the terms: -8(9 + 4h) + 2(2h + -3) = -1h + 3(h + -6) (9 * -8 + 4h * -8) + 2(2h + -3) = -1h + 3(h + -6) (-72 + -32h) + 2(2h + -3) = -1h + 3(h + -6) Reorder the terms: -72 + -32h + 2(-3 + 2h) = -1h + 3(h + -6) -72 + -32h + (-3 * 2 + 2h * 2) = -1h + 3(h + -6) -72 + -32h + (-6 + 4h) = -1h + 3(h + -6) Reorder the terms: -72 + -6 + -32h + 4h = -1h + 3(h + -6) Combine like terms: -72 + -6 = -78 -78 + -32h + 4h = -1h + 3(h + -6) Combine like terms: -32h + 4h = -28h -78 + -28h = -1h + 3(h + -6) Reorder the terms: -78 + -28h = -1h + 3(-6 + h) -78 + -28h = -1h + (-6 * 3 + h * 3) -78 + -28h = -1h + (-18 + 3h) Reorder the terms: -78 + -28h = -18 + -1h + 3h Combine like terms: -1h + 3h = 2h -78 + -28h = -18 + 2h Solving -78 + -28h = -18 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. -78 + -28h + -2h = -18 + 2h + -2h Combine like terms: -28h + -2h = -30h -78 + -30h = -18 + 2h + -2h Combine like terms: 2h + -2h = 0 -78 + -30h = -18 + 0 -78 + -30h = -18 Add '78' to each side of the equation. -78 + 78 + -30h = -18 + 78 Combine like terms: -78 + 78 = 0 0 + -30h = -18 + 78 -30h = -18 + 78 Combine like terms: -18 + 78 = 60 -30h = 60 Divide each side by '-30'. h = -2 Simplifying h = -2
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