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Simplifying 4(5b + -3) + 2(7 + -2b) = 2(5b + 1) Reorder the terms: 4(-3 + 5b) + 2(7 + -2b) = 2(5b + 1) (-3 * 4 + 5b * 4) + 2(7 + -2b) = 2(5b + 1) (-12 + 20b) + 2(7 + -2b) = 2(5b + 1) -12 + 20b + (7 * 2 + -2b * 2) = 2(5b + 1) -12 + 20b + (14 + -4b) = 2(5b + 1) Reorder the terms: -12 + 14 + 20b + -4b = 2(5b + 1) Combine like terms: -12 + 14 = 2 2 + 20b + -4b = 2(5b + 1) Combine like terms: 20b + -4b = 16b 2 + 16b = 2(5b + 1) Reorder the terms: 2 + 16b = 2(1 + 5b) 2 + 16b = (1 * 2 + 5b * 2) 2 + 16b = (2 + 10b) Add '-2' to each side of the equation. 2 + -2 + 16b = 2 + -2 + 10b Combine like terms: 2 + -2 = 0 0 + 16b = 2 + -2 + 10b 16b = 2 + -2 + 10b Combine like terms: 2 + -2 = 0 16b = 0 + 10b 16b = 10b Solving 16b = 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 16b + -10b = 10b + -10b Combine like terms: 16b + -10b = 6b 6b = 10b + -10b Combine like terms: 10b + -10b = 0 6b = 0 Divide each side by '6'. b = 0 Simplifying b = 0
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