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Simplifying 7(b + -8) + 7 = 2(-2 + 6b) + -2b Reorder the terms: 7(-8 + b) + 7 = 2(-2 + 6b) + -2b (-8 * 7 + b * 7) + 7 = 2(-2 + 6b) + -2b (-56 + 7b) + 7 = 2(-2 + 6b) + -2b Reorder the terms: -56 + 7 + 7b = 2(-2 + 6b) + -2b Combine like terms: -56 + 7 = -49 -49 + 7b = 2(-2 + 6b) + -2b -49 + 7b = (-2 * 2 + 6b * 2) + -2b -49 + 7b = (-4 + 12b) + -2b Combine like terms: 12b + -2b = 10b -49 + 7b = -4 + 10b Solving -49 + 7b = -4 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -49 + 7b + -10b = -4 + 10b + -10b Combine like terms: 7b + -10b = -3b -49 + -3b = -4 + 10b + -10b Combine like terms: 10b + -10b = 0 -49 + -3b = -4 + 0 -49 + -3b = -4 Add '49' to each side of the equation. -49 + 49 + -3b = -4 + 49 Combine like terms: -49 + 49 = 0 0 + -3b = -4 + 49 -3b = -4 + 49 Combine like terms: -4 + 49 = 45 -3b = 45 Divide each side by '-3'. b = -15 Simplifying b = -15
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