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Simplifying 3h + 8(2h + -6) = 2 + 14h Reorder the terms: 3h + 8(-6 + 2h) = 2 + 14h 3h + (-6 * 8 + 2h * 8) = 2 + 14h 3h + (-48 + 16h) = 2 + 14h Reorder the terms: -48 + 3h + 16h = 2 + 14h Combine like terms: 3h + 16h = 19h -48 + 19h = 2 + 14h Solving -48 + 19h = 2 + 14h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-14h' to each side of the equation. -48 + 19h + -14h = 2 + 14h + -14h Combine like terms: 19h + -14h = 5h -48 + 5h = 2 + 14h + -14h Combine like terms: 14h + -14h = 0 -48 + 5h = 2 + 0 -48 + 5h = 2 Add '48' to each side of the equation. -48 + 48 + 5h = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 5h = 2 + 48 5h = 2 + 48 Combine like terms: 2 + 48 = 50 5h = 50 Divide each side by '5'. h = 10 Simplifying h = 10
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