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Simplifying 11h + -1(2h + -1) + -4w = -116 Reorder the terms: 11h + -1(-1 + 2h) + -4w = -116 11h + (-1 * -1 + 2h * -1) + -4w = -116 11h + (1 + -2h) + -4w = -116 Reorder the terms: 1 + 11h + -2h + -4w = -116 Combine like terms: 11h + -2h = 9h 1 + 9h + -4w = -116 Solving 1 + 9h + -4w = -116 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 9h + -1 + -4w = -116 + -1 Reorder the terms: 1 + -1 + 9h + -4w = -116 + -1 Combine like terms: 1 + -1 = 0 0 + 9h + -4w = -116 + -1 9h + -4w = -116 + -1 Combine like terms: -116 + -1 = -117 9h + -4w = -117 Add '4w' to each side of the equation. 9h + -4w + 4w = -117 + 4w Combine like terms: -4w + 4w = 0 9h + 0 = -117 + 4w 9h = -117 + 4w Divide each side by '9'. h = -13 + 0.4444444444w Simplifying h = -13 + 0.4444444444w
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