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Simplifying -2 + 7(h + -2) = 3(5h + 4) + -4h Reorder the terms: -2 + 7(-2 + h) = 3(5h + 4) + -4h -2 + (-2 * 7 + h * 7) = 3(5h + 4) + -4h -2 + (-14 + 7h) = 3(5h + 4) + -4h Combine like terms: -2 + -14 = -16 -16 + 7h = 3(5h + 4) + -4h Reorder the terms: -16 + 7h = 3(4 + 5h) + -4h -16 + 7h = (4 * 3 + 5h * 3) + -4h -16 + 7h = (12 + 15h) + -4h Combine like terms: 15h + -4h = 11h -16 + 7h = 12 + 11h Solving -16 + 7h = 12 + 11h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-11h' to each side of the equation. -16 + 7h + -11h = 12 + 11h + -11h Combine like terms: 7h + -11h = -4h -16 + -4h = 12 + 11h + -11h Combine like terms: 11h + -11h = 0 -16 + -4h = 12 + 0 -16 + -4h = 12 Add '16' to each side of the equation. -16 + 16 + -4h = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -4h = 12 + 16 -4h = 12 + 16 Combine like terms: 12 + 16 = 28 -4h = 28 Divide each side by '-4'. h = -7 Simplifying h = -7
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