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Simplifying 2(6 + -1h) + -2 + 2 = 3(-6 + 4h) (6 * 2 + -1h * 2) + -2 + 2 = 3(-6 + 4h) (12 + -2h) + -2 + 2 = 3(-6 + 4h) Reorder the terms: 12 + -2 + 2 + -2h = 3(-6 + 4h) Combine like terms: 12 + -2 = 10 10 + 2 + -2h = 3(-6 + 4h) Combine like terms: 10 + 2 = 12 12 + -2h = 3(-6 + 4h) 12 + -2h = (-6 * 3 + 4h * 3) 12 + -2h = (-18 + 12h) Solving 12 + -2h = -18 + 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. 12 + -2h + -12h = -18 + 12h + -12h Combine like terms: -2h + -12h = -14h 12 + -14h = -18 + 12h + -12h Combine like terms: 12h + -12h = 0 12 + -14h = -18 + 0 12 + -14h = -18 Add '-12' to each side of the equation. 12 + -12 + -14h = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -14h = -18 + -12 -14h = -18 + -12 Combine like terms: -18 + -12 = -30 -14h = -30 Divide each side by '-14'. h = 2.142857143 Simplifying h = 2.142857143
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