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Simplifying 3(12 + -5h) + -9(2h + 6) = 3h + -10 (12 * 3 + -5h * 3) + -9(2h + 6) = 3h + -10 (36 + -15h) + -9(2h + 6) = 3h + -10 Reorder the terms: 36 + -15h + -9(6 + 2h) = 3h + -10 36 + -15h + (6 * -9 + 2h * -9) = 3h + -10 36 + -15h + (-54 + -18h) = 3h + -10 Reorder the terms: 36 + -54 + -15h + -18h = 3h + -10 Combine like terms: 36 + -54 = -18 -18 + -15h + -18h = 3h + -10 Combine like terms: -15h + -18h = -33h -18 + -33h = 3h + -10 Reorder the terms: -18 + -33h = -10 + 3h Solving -18 + -33h = -10 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. -18 + -33h + -3h = -10 + 3h + -3h Combine like terms: -33h + -3h = -36h -18 + -36h = -10 + 3h + -3h Combine like terms: 3h + -3h = 0 -18 + -36h = -10 + 0 -18 + -36h = -10 Add '18' to each side of the equation. -18 + 18 + -36h = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -36h = -10 + 18 -36h = -10 + 18 Combine like terms: -10 + 18 = 8 -36h = 8 Divide each side by '-36'. h = -0.2222222222 Simplifying h = -0.2222222222
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