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Simplifying 7 + (h + 3) = 6(h + -3) Reorder the terms: 7 + (3 + h) = 6(h + -3) Remove parenthesis around (3 + h) 7 + 3 + h = 6(h + -3) Combine like terms: 7 + 3 = 10 10 + h = 6(h + -3) Reorder the terms: 10 + h = 6(-3 + h) 10 + h = (-3 * 6 + h * 6) 10 + h = (-18 + 6h) Solving 10 + h = -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. 10 + h + -6h = -18 + 6h + -6h Combine like terms: h + -6h = -5h 10 + -5h = -18 + 6h + -6h Combine like terms: 6h + -6h = 0 10 + -5h = -18 + 0 10 + -5h = -18 Add '-10' to each side of the equation. 10 + -10 + -5h = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -5h = -18 + -10 -5h = -18 + -10 Combine like terms: -18 + -10 = -28 -5h = -28 Divide each side by '-5'. h = 5.6 Simplifying h = 5.6
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