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Simplifying 3(4b + -7) + 8 = 6(2b + 5) Reorder the terms: 3(-7 + 4b) + 8 = 6(2b + 5) (-7 * 3 + 4b * 3) + 8 = 6(2b + 5) (-21 + 12b) + 8 = 6(2b + 5) Reorder the terms: -21 + 8 + 12b = 6(2b + 5) Combine like terms: -21 + 8 = -13 -13 + 12b = 6(2b + 5) Reorder the terms: -13 + 12b = 6(5 + 2b) -13 + 12b = (5 * 6 + 2b * 6) -13 + 12b = (30 + 12b) Add '-12b' to each side of the equation. -13 + 12b + -12b = 30 + 12b + -12b Combine like terms: 12b + -12b = 0 -13 + 0 = 30 + 12b + -12b -13 = 30 + 12b + -12b Combine like terms: 12b + -12b = 0 -13 = 30 + 0 -13 = 30 Solving -13 = 30 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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