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Simplifying G(B + 7) = 9(B + 7) + -2 Reorder the terms: G(7 + B) = 9(B + 7) + -2 (7 * G + B * G) = 9(B + 7) + -2 Reorder the terms: (BG + 7G) = 9(B + 7) + -2 (BG + 7G) = 9(B + 7) + -2 Reorder the terms: BG + 7G = 9(7 + B) + -2 BG + 7G = (7 * 9 + B * 9) + -2 BG + 7G = (63 + 9B) + -2 Reorder the terms: BG + 7G = 63 + -2 + 9B Combine like terms: 63 + -2 = 61 BG + 7G = 61 + 9B Solving BG + 7G = 61 + 9B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-9B' to each side of the equation. BG + -9B + 7G = 61 + 9B + -9B Reorder the terms: -9B + BG + 7G = 61 + 9B + -9B Combine like terms: 9B + -9B = 0 -9B + BG + 7G = 61 + 0 -9B + BG + 7G = 61 Add '-7G' to each side of the equation. -9B + BG + 7G + -7G = 61 + -7G Combine like terms: 7G + -7G = 0 -9B + BG + 0 = 61 + -7G -9B + BG = 61 + -7G Reorder the terms: -61 + -9B + BG + 7G = 61 + -7G + -61 + 7G Reorder the terms: -61 + -9B + BG + 7G = 61 + -61 + -7G + 7G Combine like terms: 61 + -61 = 0 -61 + -9B + BG + 7G = 0 + -7G + 7G -61 + -9B + BG + 7G = -7G + 7G Combine like terms: -7G + 7G = 0 -61 + -9B + BG + 7G = 0 The solution to this equation could not be determined.
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