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Simplifying -3(1 + 7b) + 4(-8 + 7b) = -35 (1 * -3 + 7b * -3) + 4(-8 + 7b) = -35 (-3 + -21b) + 4(-8 + 7b) = -35 -3 + -21b + (-8 * 4 + 7b * 4) = -35 -3 + -21b + (-32 + 28b) = -35 Reorder the terms: -3 + -32 + -21b + 28b = -35 Combine like terms: -3 + -32 = -35 -35 + -21b + 28b = -35 Combine like terms: -21b + 28b = 7b -35 + 7b = -35 Add '35' to each side of the equation. -35 + 35 + 7b = -35 + 35 Combine like terms: -35 + 35 = 0 0 + 7b = -35 + 35 7b = -35 + 35 Combine like terms: -35 + 35 = 0 7b = 0 Solving 7b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '7'. b = 0 Simplifying b = 0
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