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Simplifying -13h + -5(18h + -7) = 6(-18h + 5) Reorder the terms: -13h + -5(-7 + 18h) = 6(-18h + 5) -13h + (-7 * -5 + 18h * -5) = 6(-18h + 5) -13h + (35 + -90h) = 6(-18h + 5) Reorder the terms: 35 + -13h + -90h = 6(-18h + 5) Combine like terms: -13h + -90h = -103h 35 + -103h = 6(-18h + 5) Reorder the terms: 35 + -103h = 6(5 + -18h) 35 + -103h = (5 * 6 + -18h * 6) 35 + -103h = (30 + -108h) Solving 35 + -103h = 30 + -108h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '108h' to each side of the equation. 35 + -103h + 108h = 30 + -108h + 108h Combine like terms: -103h + 108h = 5h 35 + 5h = 30 + -108h + 108h Combine like terms: -108h + 108h = 0 35 + 5h = 30 + 0 35 + 5h = 30 Add '-35' to each side of the equation. 35 + -35 + 5h = 30 + -35 Combine like terms: 35 + -35 = 0 0 + 5h = 30 + -35 5h = 30 + -35 Combine like terms: 30 + -35 = -5 5h = -5 Divide each side by '5'. h = -1 Simplifying h = -1
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