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Simplifying 6(h + 3) = -2(h + 31) Reorder the terms: 6(3 + h) = -2(h + 31) (3 * 6 + h * 6) = -2(h + 31) (18 + 6h) = -2(h + 31) Reorder the terms: 18 + 6h = -2(31 + h) 18 + 6h = (31 * -2 + h * -2) 18 + 6h = (-62 + -2h) Solving 18 + 6h = -62 + -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. 18 + 6h + 2h = -62 + -2h + 2h Combine like terms: 6h + 2h = 8h 18 + 8h = -62 + -2h + 2h Combine like terms: -2h + 2h = 0 18 + 8h = -62 + 0 18 + 8h = -62 Add '-18' to each side of the equation. 18 + -18 + 8h = -62 + -18 Combine like terms: 18 + -18 = 0 0 + 8h = -62 + -18 8h = -62 + -18 Combine like terms: -62 + -18 = -80 8h = -80 Divide each side by '8'. h = -10 Simplifying h = -10
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