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Simplifying 10(b + -12) + 6(b + -5) = 8 + 5b + 1 + 11b Reorder the terms: 10(-12 + b) + 6(b + -5) = 8 + 5b + 1 + 11b (-12 * 10 + b * 10) + 6(b + -5) = 8 + 5b + 1 + 11b (-120 + 10b) + 6(b + -5) = 8 + 5b + 1 + 11b Reorder the terms: -120 + 10b + 6(-5 + b) = 8 + 5b + 1 + 11b -120 + 10b + (-5 * 6 + b * 6) = 8 + 5b + 1 + 11b -120 + 10b + (-30 + 6b) = 8 + 5b + 1 + 11b Reorder the terms: -120 + -30 + 10b + 6b = 8 + 5b + 1 + 11b Combine like terms: -120 + -30 = -150 -150 + 10b + 6b = 8 + 5b + 1 + 11b Combine like terms: 10b + 6b = 16b -150 + 16b = 8 + 5b + 1 + 11b Reorder the terms: -150 + 16b = 8 + 1 + 5b + 11b Combine like terms: 8 + 1 = 9 -150 + 16b = 9 + 5b + 11b Combine like terms: 5b + 11b = 16b -150 + 16b = 9 + 16b Add '-16b' to each side of the equation. -150 + 16b + -16b = 9 + 16b + -16b Combine like terms: 16b + -16b = 0 -150 + 0 = 9 + 16b + -16b -150 = 9 + 16b + -16b Combine like terms: 16b + -16b = 0 -150 = 9 + 0 -150 = 9 Solving -150 = 9 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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