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Simplifying 4(3h + 3) = 3(5h + -2) Reorder the terms: 4(3 + 3h) = 3(5h + -2) (3 * 4 + 3h * 4) = 3(5h + -2) (12 + 12h) = 3(5h + -2) Reorder the terms: 12 + 12h = 3(-2 + 5h) 12 + 12h = (-2 * 3 + 5h * 3) 12 + 12h = (-6 + 15h) Solving 12 + 12h = -6 + 15h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-15h' to each side of the equation. 12 + 12h + -15h = -6 + 15h + -15h Combine like terms: 12h + -15h = -3h 12 + -3h = -6 + 15h + -15h Combine like terms: 15h + -15h = 0 12 + -3h = -6 + 0 12 + -3h = -6 Add '-12' to each side of the equation. 12 + -12 + -3h = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -3h = -6 + -12 -3h = -6 + -12 Combine like terms: -6 + -12 = -18 -3h = -18 Divide each side by '-3'. h = 6 Simplifying h = 6
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