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Simplifying -7(5b + -1) + 5(2 + -7b) = -53 Reorder the terms: -7(-1 + 5b) + 5(2 + -7b) = -53 (-1 * -7 + 5b * -7) + 5(2 + -7b) = -53 (7 + -35b) + 5(2 + -7b) = -53 7 + -35b + (2 * 5 + -7b * 5) = -53 7 + -35b + (10 + -35b) = -53 Reorder the terms: 7 + 10 + -35b + -35b = -53 Combine like terms: 7 + 10 = 17 17 + -35b + -35b = -53 Combine like terms: -35b + -35b = -70b 17 + -70b = -53 Solving 17 + -70b = -53 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -70b = -53 + -17 Combine like terms: 17 + -17 = 0 0 + -70b = -53 + -17 -70b = -53 + -17 Combine like terms: -53 + -17 = -70 -70b = -70 Divide each side by '-70'. b = 1 Simplifying b = 1
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