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Simplifying 7(4h + 1) + -2(2h + -3) = -23 Reorder the terms: 7(1 + 4h) + -2(2h + -3) = -23 (1 * 7 + 4h * 7) + -2(2h + -3) = -23 (7 + 28h) + -2(2h + -3) = -23 Reorder the terms: 7 + 28h + -2(-3 + 2h) = -23 7 + 28h + (-3 * -2 + 2h * -2) = -23 7 + 28h + (6 + -4h) = -23 Reorder the terms: 7 + 6 + 28h + -4h = -23 Combine like terms: 7 + 6 = 13 13 + 28h + -4h = -23 Combine like terms: 28h + -4h = 24h 13 + 24h = -23 Solving 13 + 24h = -23 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 24h = -23 + -13 Combine like terms: 13 + -13 = 0 0 + 24h = -23 + -13 24h = -23 + -13 Combine like terms: -23 + -13 = -36 24h = -36 Divide each side by '24'. h = -1.5 Simplifying h = -1.5
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