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Simplifying 4(5b + -7) = 10b + 2 Reorder the terms: 4(-7 + 5b) = 10b + 2 (-7 * 4 + 5b * 4) = 10b + 2 (-28 + 20b) = 10b + 2 Reorder the terms: -28 + 20b = 2 + 10b Solving -28 + 20b = 2 + 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. -28 + 20b + -10b = 2 + 10b + -10b Combine like terms: 20b + -10b = 10b -28 + 10b = 2 + 10b + -10b Combine like terms: 10b + -10b = 0 -28 + 10b = 2 + 0 -28 + 10b = 2 Add '28' to each side of the equation. -28 + 28 + 10b = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 10b = 2 + 28 10b = 2 + 28 Combine like terms: 2 + 28 = 30 10b = 30 Divide each side by '10'. b = 3 Simplifying b = 3
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