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Simplifying 8(b + -3) + -1(6 + -2b) = 2(b + 2) + -8(5 + -1b) Reorder the terms: 8(-3 + b) + -1(6 + -2b) = 2(b + 2) + -8(5 + -1b) (-3 * 8 + b * 8) + -1(6 + -2b) = 2(b + 2) + -8(5 + -1b) (-24 + 8b) + -1(6 + -2b) = 2(b + 2) + -8(5 + -1b) -24 + 8b + (6 * -1 + -2b * -1) = 2(b + 2) + -8(5 + -1b) -24 + 8b + (-6 + 2b) = 2(b + 2) + -8(5 + -1b) Reorder the terms: -24 + -6 + 8b + 2b = 2(b + 2) + -8(5 + -1b) Combine like terms: -24 + -6 = -30 -30 + 8b + 2b = 2(b + 2) + -8(5 + -1b) Combine like terms: 8b + 2b = 10b -30 + 10b = 2(b + 2) + -8(5 + -1b) Reorder the terms: -30 + 10b = 2(2 + b) + -8(5 + -1b) -30 + 10b = (2 * 2 + b * 2) + -8(5 + -1b) -30 + 10b = (4 + 2b) + -8(5 + -1b) -30 + 10b = 4 + 2b + (5 * -8 + -1b * -8) -30 + 10b = 4 + 2b + (-40 + 8b) Reorder the terms: -30 + 10b = 4 + -40 + 2b + 8b Combine like terms: 4 + -40 = -36 -30 + 10b = -36 + 2b + 8b Combine like terms: 2b + 8b = 10b -30 + 10b = -36 + 10b Add '-10b' to each side of the equation. -30 + 10b + -10b = -36 + 10b + -10b Combine like terms: 10b + -10b = 0 -30 + 0 = -36 + 10b + -10b -30 = -36 + 10b + -10b Combine like terms: 10b + -10b = 0 -30 = -36 + 0 -30 = -36 Solving -30 = -36 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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