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Simplifying 11h + -13 = 4(9h + 17) + 19 Reorder the terms: -13 + 11h = 4(9h + 17) + 19 Reorder the terms: -13 + 11h = 4(17 + 9h) + 19 -13 + 11h = (17 * 4 + 9h * 4) + 19 -13 + 11h = (68 + 36h) + 19 Reorder the terms: -13 + 11h = 68 + 19 + 36h Combine like terms: 68 + 19 = 87 -13 + 11h = 87 + 36h Solving -13 + 11h = 87 + 36h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-36h' to each side of the equation. -13 + 11h + -36h = 87 + 36h + -36h Combine like terms: 11h + -36h = -25h -13 + -25h = 87 + 36h + -36h Combine like terms: 36h + -36h = 0 -13 + -25h = 87 + 0 -13 + -25h = 87 Add '13' to each side of the equation. -13 + 13 + -25h = 87 + 13 Combine like terms: -13 + 13 = 0 0 + -25h = 87 + 13 -25h = 87 + 13 Combine like terms: 87 + 13 = 100 -25h = 100 Divide each side by '-25'. h = -4 Simplifying h = -4
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