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Simplifying -2(9h + -40) + 11h = 79 + -4(3h + -14) Reorder the terms: -2(-40 + 9h) + 11h = 79 + -4(3h + -14) (-40 * -2 + 9h * -2) + 11h = 79 + -4(3h + -14) (80 + -18h) + 11h = 79 + -4(3h + -14) Combine like terms: -18h + 11h = -7h 80 + -7h = 79 + -4(3h + -14) Reorder the terms: 80 + -7h = 79 + -4(-14 + 3h) 80 + -7h = 79 + (-14 * -4 + 3h * -4) 80 + -7h = 79 + (56 + -12h) Combine like terms: 79 + 56 = 135 80 + -7h = 135 + -12h Solving 80 + -7h = 135 + -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. 80 + -7h + 12h = 135 + -12h + 12h Combine like terms: -7h + 12h = 5h 80 + 5h = 135 + -12h + 12h Combine like terms: -12h + 12h = 0 80 + 5h = 135 + 0 80 + 5h = 135 Add '-80' to each side of the equation. 80 + -80 + 5h = 135 + -80 Combine like terms: 80 + -80 = 0 0 + 5h = 135 + -80 5h = 135 + -80 Combine like terms: 135 + -80 = 55 5h = 55 Divide each side by '5'. h = 11 Simplifying h = 11
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