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Simplifying 7(h + 3) + -2(h + -4) = 4 Reorder the terms: 7(3 + h) + -2(h + -4) = 4 (3 * 7 + h * 7) + -2(h + -4) = 4 (21 + 7h) + -2(h + -4) = 4 Reorder the terms: 21 + 7h + -2(-4 + h) = 4 21 + 7h + (-4 * -2 + h * -2) = 4 21 + 7h + (8 + -2h) = 4 Reorder the terms: 21 + 8 + 7h + -2h = 4 Combine like terms: 21 + 8 = 29 29 + 7h + -2h = 4 Combine like terms: 7h + -2h = 5h 29 + 5h = 4 Solving 29 + 5h = 4 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 5h = 4 + -29 Combine like terms: 29 + -29 = 0 0 + 5h = 4 + -29 5h = 4 + -29 Combine like terms: 4 + -29 = -25 5h = -25 Divide each side by '5'. h = -5 Simplifying h = -5
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