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Simplifying 6(h + -2) + 2(h + -53) = 2 Reorder the terms: 6(-2 + h) + 2(h + -53) = 2 (-2 * 6 + h * 6) + 2(h + -53) = 2 (-12 + 6h) + 2(h + -53) = 2 Reorder the terms: -12 + 6h + 2(-53 + h) = 2 -12 + 6h + (-53 * 2 + h * 2) = 2 -12 + 6h + (-106 + 2h) = 2 Reorder the terms: -12 + -106 + 6h + 2h = 2 Combine like terms: -12 + -106 = -118 -118 + 6h + 2h = 2 Combine like terms: 6h + 2h = 8h -118 + 8h = 2 Solving -118 + 8h = 2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '118' to each side of the equation. -118 + 118 + 8h = 2 + 118 Combine like terms: -118 + 118 = 0 0 + 8h = 2 + 118 8h = 2 + 118 Combine like terms: 2 + 118 = 120 8h = 120 Divide each side by '8'. h = 15 Simplifying h = 15
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