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Simplifying 5h + -7 = 12(h + 1) Reorder the terms: -7 + 5h = 12(h + 1) Reorder the terms: -7 + 5h = 12(1 + h) -7 + 5h = (1 * 12 + h * 12) -7 + 5h = (12 + 12h) Solving -7 + 5h = 12 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. -7 + 5h + -12h = 12 + 12h + -12h Combine like terms: 5h + -12h = -7h -7 + -7h = 12 + 12h + -12h Combine like terms: 12h + -12h = 0 -7 + -7h = 12 + 0 -7 + -7h = 12 Add '7' to each side of the equation. -7 + 7 + -7h = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -7h = 12 + 7 -7h = 12 + 7 Combine like terms: 12 + 7 = 19 -7h = 19 Divide each side by '-7'. h = -2.714285714 Simplifying h = -2.714285714
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