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Simplifying 4(h + 3) = 2(-2h + -14) Reorder the terms: 4(3 + h) = 2(-2h + -14) (3 * 4 + h * 4) = 2(-2h + -14) (12 + 4h) = 2(-2h + -14) Reorder the terms: 12 + 4h = 2(-14 + -2h) 12 + 4h = (-14 * 2 + -2h * 2) 12 + 4h = (-28 + -4h) Solving 12 + 4h = -28 + -4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '4h' to each side of the equation. 12 + 4h + 4h = -28 + -4h + 4h Combine like terms: 4h + 4h = 8h 12 + 8h = -28 + -4h + 4h Combine like terms: -4h + 4h = 0 12 + 8h = -28 + 0 12 + 8h = -28 Add '-12' to each side of the equation. 12 + -12 + 8h = -28 + -12 Combine like terms: 12 + -12 = 0 0 + 8h = -28 + -12 8h = -28 + -12 Combine like terms: -28 + -12 = -40 8h = -40 Divide each side by '8'. h = -5 Simplifying h = -5
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