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Simplifying 12h + 13(h + -6) = 56h + 2 Reorder the terms: 12h + 13(-6 + h) = 56h + 2 12h + (-6 * 13 + h * 13) = 56h + 2 12h + (-78 + 13h) = 56h + 2 Reorder the terms: -78 + 12h + 13h = 56h + 2 Combine like terms: 12h + 13h = 25h -78 + 25h = 56h + 2 Reorder the terms: -78 + 25h = 2 + 56h Solving -78 + 25h = 2 + 56h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-56h' to each side of the equation. -78 + 25h + -56h = 2 + 56h + -56h Combine like terms: 25h + -56h = -31h -78 + -31h = 2 + 56h + -56h Combine like terms: 56h + -56h = 0 -78 + -31h = 2 + 0 -78 + -31h = 2 Add '78' to each side of the equation. -78 + 78 + -31h = 2 + 78 Combine like terms: -78 + 78 = 0 0 + -31h = 2 + 78 -31h = 2 + 78 Combine like terms: 2 + 78 = 80 -31h = 80 Divide each side by '-31'. h = -2.580645161 Simplifying h = -2.580645161
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