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Simplifying -2b + 4(b + -7) = 7b + -3 Reorder the terms: -2b + 4(-7 + b) = 7b + -3 -2b + (-7 * 4 + b * 4) = 7b + -3 -2b + (-28 + 4b) = 7b + -3 Reorder the terms: -28 + -2b + 4b = 7b + -3 Combine like terms: -2b + 4b = 2b -28 + 2b = 7b + -3 Reorder the terms: -28 + 2b = -3 + 7b Solving -28 + 2b = -3 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -28 + 2b + -7b = -3 + 7b + -7b Combine like terms: 2b + -7b = -5b -28 + -5b = -3 + 7b + -7b Combine like terms: 7b + -7b = 0 -28 + -5b = -3 + 0 -28 + -5b = -3 Add '28' to each side of the equation. -28 + 28 + -5b = -3 + 28 Combine like terms: -28 + 28 = 0 0 + -5b = -3 + 28 -5b = -3 + 28 Combine like terms: -3 + 28 = 25 -5b = 25 Divide each side by '-5'. b = -5 Simplifying b = -5
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