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Simplifying 7(h + -3) = 6(h + -3) Reorder the terms: 7(-3 + h) = 6(h + -3) (-3 * 7 + h * 7) = 6(h + -3) (-21 + 7h) = 6(h + -3) Reorder the terms: -21 + 7h = 6(-3 + h) -21 + 7h = (-3 * 6 + h * 6) -21 + 7h = (-18 + 6h) Solving -21 + 7h = -18 + 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. -21 + 7h + -6h = -18 + 6h + -6h Combine like terms: 7h + -6h = 1h -21 + 1h = -18 + 6h + -6h Combine like terms: 6h + -6h = 0 -21 + 1h = -18 + 0 -21 + 1h = -18 Add '21' to each side of the equation. -21 + 21 + 1h = -18 + 21 Combine like terms: -21 + 21 = 0 0 + 1h = -18 + 21 1h = -18 + 21 Combine like terms: -18 + 21 = 3 1h = 3 Divide each side by '1'. h = 3 Simplifying h = 3
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