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Simplifying 5(b + 6) + 6 = 8b + -3(b + -4) Reorder the terms: 5(6 + b) + 6 = 8b + -3(b + -4) (6 * 5 + b * 5) + 6 = 8b + -3(b + -4) (30 + 5b) + 6 = 8b + -3(b + -4) Reorder the terms: 30 + 6 + 5b = 8b + -3(b + -4) Combine like terms: 30 + 6 = 36 36 + 5b = 8b + -3(b + -4) Reorder the terms: 36 + 5b = 8b + -3(-4 + b) 36 + 5b = 8b + (-4 * -3 + b * -3) 36 + 5b = 8b + (12 + -3b) Reorder the terms: 36 + 5b = 12 + 8b + -3b Combine like terms: 8b + -3b = 5b 36 + 5b = 12 + 5b Add '-5b' to each side of the equation. 36 + 5b + -5b = 12 + 5b + -5b Combine like terms: 5b + -5b = 0 36 + 0 = 12 + 5b + -5b 36 = 12 + 5b + -5b Combine like terms: 5b + -5b = 0 36 = 12 + 0 36 = 12 Solving 36 = 12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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