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Simplifying -7h + 16 = 2(h + -6) + 5h Reorder the terms: 16 + -7h = 2(h + -6) + 5h Reorder the terms: 16 + -7h = 2(-6 + h) + 5h 16 + -7h = (-6 * 2 + h * 2) + 5h 16 + -7h = (-12 + 2h) + 5h Combine like terms: 2h + 5h = 7h 16 + -7h = -12 + 7h Solving 16 + -7h = -12 + 7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7h' to each side of the equation. 16 + -7h + -7h = -12 + 7h + -7h Combine like terms: -7h + -7h = -14h 16 + -14h = -12 + 7h + -7h Combine like terms: 7h + -7h = 0 16 + -14h = -12 + 0 16 + -14h = -12 Add '-16' to each side of the equation. 16 + -16 + -14h = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -14h = -12 + -16 -14h = -12 + -16 Combine like terms: -12 + -16 = -28 -14h = -28 Divide each side by '-14'. h = 2 Simplifying h = 2
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