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Simplifying 5h + 34 = -2(1 + -7h) Reorder the terms: 34 + 5h = -2(1 + -7h) 34 + 5h = (1 * -2 + -7h * -2) 34 + 5h = (-2 + 14h) Solving 34 + 5h = -2 + 14h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-14h' to each side of the equation. 34 + 5h + -14h = -2 + 14h + -14h Combine like terms: 5h + -14h = -9h 34 + -9h = -2 + 14h + -14h Combine like terms: 14h + -14h = 0 34 + -9h = -2 + 0 34 + -9h = -2 Add '-34' to each side of the equation. 34 + -34 + -9h = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9h = -2 + -34 -9h = -2 + -34 Combine like terms: -2 + -34 = -36 -9h = -36 Divide each side by '-9'. h = 4 Simplifying h = 4
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