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Simplifying 6(3h + 5) = 2(6h + -21) Reorder the terms: 6(5 + 3h) = 2(6h + -21) (5 * 6 + 3h * 6) = 2(6h + -21) (30 + 18h) = 2(6h + -21) Reorder the terms: 30 + 18h = 2(-21 + 6h) 30 + 18h = (-21 * 2 + 6h * 2) 30 + 18h = (-42 + 12h) Solving 30 + 18h = -42 + 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. 30 + 18h + -12h = -42 + 12h + -12h Combine like terms: 18h + -12h = 6h 30 + 6h = -42 + 12h + -12h Combine like terms: 12h + -12h = 0 30 + 6h = -42 + 0 30 + 6h = -42 Add '-30' to each side of the equation. 30 + -30 + 6h = -42 + -30 Combine like terms: 30 + -30 = 0 0 + 6h = -42 + -30 6h = -42 + -30 Combine like terms: -42 + -30 = -72 6h = -72 Divide each side by '6'. h = -12 Simplifying h = -12
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