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Simplifying 2(3h + -5) + 6h = -6 + 5h + -7h + 3 Reorder the terms: 2(-5 + 3h) + 6h = -6 + 5h + -7h + 3 (-5 * 2 + 3h * 2) + 6h = -6 + 5h + -7h + 3 (-10 + 6h) + 6h = -6 + 5h + -7h + 3 Combine like terms: 6h + 6h = 12h -10 + 12h = -6 + 5h + -7h + 3 Reorder the terms: -10 + 12h = -6 + 3 + 5h + -7h Combine like terms: -6 + 3 = -3 -10 + 12h = -3 + 5h + -7h Combine like terms: 5h + -7h = -2h -10 + 12h = -3 + -2h Solving -10 + 12h = -3 + -2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2h' to each side of the equation. -10 + 12h + 2h = -3 + -2h + 2h Combine like terms: 12h + 2h = 14h -10 + 14h = -3 + -2h + 2h Combine like terms: -2h + 2h = 0 -10 + 14h = -3 + 0 -10 + 14h = -3 Add '10' to each side of the equation. -10 + 10 + 14h = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 14h = -3 + 10 14h = -3 + 10 Combine like terms: -3 + 10 = 7 14h = 7 Divide each side by '14'. h = 0.5 Simplifying h = 0.5
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