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Simplifying 11h + -1(5 + -3h) + -1h + -7(4h + -3) = -1h + -1(-53 + -1h) 11h + (5 * -1 + -3h * -1) + -1h + -7(4h + -3) = -1h + -1(-53 + -1h) 11h + (-5 + 3h) + -1h + -7(4h + -3) = -1h + -1(-53 + -1h) Reorder the terms: 11h + -5 + 3h + -1h + -7(-3 + 4h) = -1h + -1(-53 + -1h) 11h + -5 + 3h + -1h + (-3 * -7 + 4h * -7) = -1h + -1(-53 + -1h) 11h + -5 + 3h + -1h + (21 + -28h) = -1h + -1(-53 + -1h) Reorder the terms: -5 + 21 + 11h + 3h + -1h + -28h = -1h + -1(-53 + -1h) Combine like terms: -5 + 21 = 16 16 + 11h + 3h + -1h + -28h = -1h + -1(-53 + -1h) Combine like terms: 11h + 3h = 14h 16 + 14h + -1h + -28h = -1h + -1(-53 + -1h) Combine like terms: 14h + -1h = 13h 16 + 13h + -28h = -1h + -1(-53 + -1h) Combine like terms: 13h + -28h = -15h 16 + -15h = -1h + -1(-53 + -1h) 16 + -15h = -1h + (-53 * -1 + -1h * -1) 16 + -15h = -1h + (53 + 1h) Reorder the terms: 16 + -15h = 53 + -1h + 1h Combine like terms: -1h + 1h = 0 16 + -15h = 53 + 0 16 + -15h = 53 Solving 16 + -15h = 53 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -15h = 53 + -16 Combine like terms: 16 + -16 = 0 0 + -15h = 53 + -16 -15h = 53 + -16 Combine like terms: 53 + -16 = 37 -15h = 37 Divide each side by '-15'. h = -2.466666667 Simplifying h = -2.466666667
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