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Simplifying 3(1 + -6h) = -2(3h + 1) + 9 (1 * 3 + -6h * 3) = -2(3h + 1) + 9 (3 + -18h) = -2(3h + 1) + 9 Reorder the terms: 3 + -18h = -2(1 + 3h) + 9 3 + -18h = (1 * -2 + 3h * -2) + 9 3 + -18h = (-2 + -6h) + 9 Reorder the terms: 3 + -18h = -2 + 9 + -6h Combine like terms: -2 + 9 = 7 3 + -18h = 7 + -6h Solving 3 + -18h = 7 + -6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '6h' to each side of the equation. 3 + -18h + 6h = 7 + -6h + 6h Combine like terms: -18h + 6h = -12h 3 + -12h = 7 + -6h + 6h Combine like terms: -6h + 6h = 0 3 + -12h = 7 + 0 3 + -12h = 7 Add '-3' to each side of the equation. 3 + -3 + -12h = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -12h = 7 + -3 -12h = 7 + -3 Combine like terms: 7 + -3 = 4 -12h = 4 Divide each side by '-12'. h = -0.3333333333 Simplifying h = -0.3333333333
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