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Simplifying -7b + 9 = 8(-5b + -3) Reorder the terms: 9 + -7b = 8(-5b + -3) Reorder the terms: 9 + -7b = 8(-3 + -5b) 9 + -7b = (-3 * 8 + -5b * 8) 9 + -7b = (-24 + -40b) Solving 9 + -7b = -24 + -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. 9 + -7b + 40b = -24 + -40b + 40b Combine like terms: -7b + 40b = 33b 9 + 33b = -24 + -40b + 40b Combine like terms: -40b + 40b = 0 9 + 33b = -24 + 0 9 + 33b = -24 Add '-9' to each side of the equation. 9 + -9 + 33b = -24 + -9 Combine like terms: 9 + -9 = 0 0 + 33b = -24 + -9 33b = -24 + -9 Combine like terms: -24 + -9 = -33 33b = -33 Divide each side by '33'. b = -1 Simplifying b = -1
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