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Simplifying 6(3 + -1h) + (-20) = 10 + 3(4h + 2) (3 * 6 + -1h * 6) + (-20) = 10 + 3(4h + 2) (18 + -6h) + (-20) = 10 + 3(4h + 2) 18 + -6h + -20 = 10 + 3(4h + 2) Reorder the terms: 18 + -20 + -6h = 10 + 3(4h + 2) Combine like terms: 18 + -20 = -2 -2 + -6h = 10 + 3(4h + 2) Reorder the terms: -2 + -6h = 10 + 3(2 + 4h) -2 + -6h = 10 + (2 * 3 + 4h * 3) -2 + -6h = 10 + (6 + 12h) Combine like terms: 10 + 6 = 16 -2 + -6h = 16 + 12h Solving -2 + -6h = 16 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. -2 + -6h + -12h = 16 + 12h + -12h Combine like terms: -6h + -12h = -18h -2 + -18h = 16 + 12h + -12h Combine like terms: 12h + -12h = 0 -2 + -18h = 16 + 0 -2 + -18h = 16 Add '2' to each side of the equation. -2 + 2 + -18h = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -18h = 16 + 2 -18h = 16 + 2 Combine like terms: 16 + 2 = 18 -18h = 18 Divide each side by '-18'. h = -1 Simplifying h = -1
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