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Simplifying -7(-13h + 7) = 13 + 6(15h + -13) Reorder the terms: -7(7 + -13h) = 13 + 6(15h + -13) (7 * -7 + -13h * -7) = 13 + 6(15h + -13) (-49 + 91h) = 13 + 6(15h + -13) Reorder the terms: -49 + 91h = 13 + 6(-13 + 15h) -49 + 91h = 13 + (-13 * 6 + 15h * 6) -49 + 91h = 13 + (-78 + 90h) Combine like terms: 13 + -78 = -65 -49 + 91h = -65 + 90h Solving -49 + 91h = -65 + 90h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-90h' to each side of the equation. -49 + 91h + -90h = -65 + 90h + -90h Combine like terms: 91h + -90h = 1h -49 + 1h = -65 + 90h + -90h Combine like terms: 90h + -90h = 0 -49 + 1h = -65 + 0 -49 + 1h = -65 Add '49' to each side of the equation. -49 + 49 + 1h = -65 + 49 Combine like terms: -49 + 49 = 0 0 + 1h = -65 + 49 1h = -65 + 49 Combine like terms: -65 + 49 = -16 1h = -16 Divide each side by '1'. h = -16 Simplifying h = -16
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