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Simplifying 2(3h + -17) = -2(3h + -7) Reorder the terms: 2(-17 + 3h) = -2(3h + -7) (-17 * 2 + 3h * 2) = -2(3h + -7) (-34 + 6h) = -2(3h + -7) Reorder the terms: -34 + 6h = -2(-7 + 3h) -34 + 6h = (-7 * -2 + 3h * -2) -34 + 6h = (14 + -6h) Solving -34 + 6h = 14 + -6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '6h' to each side of the equation. -34 + 6h + 6h = 14 + -6h + 6h Combine like terms: 6h + 6h = 12h -34 + 12h = 14 + -6h + 6h Combine like terms: -6h + 6h = 0 -34 + 12h = 14 + 0 -34 + 12h = 14 Add '34' to each side of the equation. -34 + 34 + 12h = 14 + 34 Combine like terms: -34 + 34 = 0 0 + 12h = 14 + 34 12h = 14 + 34 Combine like terms: 14 + 34 = 48 12h = 48 Divide each side by '12'. h = 4 Simplifying h = 4
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