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Simplifying 4(5 + -3b) = 4b + 4 (5 * 4 + -3b * 4) = 4b + 4 (20 + -12b) = 4b + 4 Reorder the terms: 20 + -12b = 4 + 4b Solving 20 + -12b = 4 + 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. 20 + -12b + -4b = 4 + 4b + -4b Combine like terms: -12b + -4b = -16b 20 + -16b = 4 + 4b + -4b Combine like terms: 4b + -4b = 0 20 + -16b = 4 + 0 20 + -16b = 4 Add '-20' to each side of the equation. 20 + -20 + -16b = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -16b = 4 + -20 -16b = 4 + -20 Combine like terms: 4 + -20 = -16 -16b = -16 Divide each side by '-16'. b = 1 Simplifying b = 1
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