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Simplifying 8(1 + -5b) + -7b = 7(8 + -5b) (1 * 8 + -5b * 8) + -7b = 7(8 + -5b) (8 + -40b) + -7b = 7(8 + -5b) Combine like terms: -40b + -7b = -47b 8 + -47b = 7(8 + -5b) 8 + -47b = (8 * 7 + -5b * 7) 8 + -47b = (56 + -35b) Solving 8 + -47b = 56 + -35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '35b' to each side of the equation. 8 + -47b + 35b = 56 + -35b + 35b Combine like terms: -47b + 35b = -12b 8 + -12b = 56 + -35b + 35b Combine like terms: -35b + 35b = 0 8 + -12b = 56 + 0 8 + -12b = 56 Add '-8' to each side of the equation. 8 + -8 + -12b = 56 + -8 Combine like terms: 8 + -8 = 0 0 + -12b = 56 + -8 -12b = 56 + -8 Combine like terms: 56 + -8 = 48 -12b = 48 Divide each side by '-12'. b = -4 Simplifying b = -4
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