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Simplifying -7(h + 1) = 5(h + -2) Reorder the terms: -7(1 + h) = 5(h + -2) (1 * -7 + h * -7) = 5(h + -2) (-7 + -7h) = 5(h + -2) Reorder the terms: -7 + -7h = 5(-2 + h) -7 + -7h = (-2 * 5 + h * 5) -7 + -7h = (-10 + 5h) Solving -7 + -7h = -10 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. -7 + -7h + -5h = -10 + 5h + -5h Combine like terms: -7h + -5h = -12h -7 + -12h = -10 + 5h + -5h Combine like terms: 5h + -5h = 0 -7 + -12h = -10 + 0 -7 + -12h = -10 Add '7' to each side of the equation. -7 + 7 + -12h = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -12h = -10 + 7 -12h = -10 + 7 Combine like terms: -10 + 7 = -3 -12h = -3 Divide each side by '-12'. h = 0.25 Simplifying h = 0.25
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