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Simplifying 5(h + -3) = 3(2h + -1) Reorder the terms: 5(-3 + h) = 3(2h + -1) (-3 * 5 + h * 5) = 3(2h + -1) (-15 + 5h) = 3(2h + -1) Reorder the terms: -15 + 5h = 3(-1 + 2h) -15 + 5h = (-1 * 3 + 2h * 3) -15 + 5h = (-3 + 6h) Solving -15 + 5h = -3 + 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. -15 + 5h + -6h = -3 + 6h + -6h Combine like terms: 5h + -6h = -1h -15 + -1h = -3 + 6h + -6h Combine like terms: 6h + -6h = 0 -15 + -1h = -3 + 0 -15 + -1h = -3 Add '15' to each side of the equation. -15 + 15 + -1h = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -1h = -3 + 15 -1h = -3 + 15 Combine like terms: -3 + 15 = 12 -1h = 12 Divide each side by '-1'. h = -12 Simplifying h = -12
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