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Simplifying 6(-7b + 5) = -16 + 4b Reorder the terms: 6(5 + -7b) = -16 + 4b (5 * 6 + -7b * 6) = -16 + 4b (30 + -42b) = -16 + 4b Solving 30 + -42b = -16 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 30 + -42b + -4b = -16 + 4b + -4b Combine like terms: -42b + -4b = -46b 30 + -46b = -16 + 4b + -4b Combine like terms: 4b + -4b = 0 30 + -46b = -16 + 0 30 + -46b = -16 Add '-30' to each side of the equation. 30 + -30 + -46b = -16 + -30 Combine like terms: 30 + -30 = 0 0 + -46b = -16 + -30 -46b = -16 + -30 Combine like terms: -16 + -30 = -46 -46b = -46 Divide each side by '-46'. b = 1 Simplifying b = 1
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