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Simplifying 5(b + -3) = b + -7 Reorder the terms: 5(-3 + b) = b + -7 (-3 * 5 + b * 5) = b + -7 (-15 + 5b) = b + -7 Reorder the terms: -15 + 5b = -7 + b Solving -15 + 5b = -7 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -15 + 5b + -1b = -7 + b + -1b Combine like terms: 5b + -1b = 4b -15 + 4b = -7 + b + -1b Combine like terms: b + -1b = 0 -15 + 4b = -7 + 0 -15 + 4b = -7 Add '15' to each side of the equation. -15 + 15 + 4b = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 4b = -7 + 15 4b = -7 + 15 Combine like terms: -7 + 15 = 8 4b = 8 Divide each side by '4'. b = 2 Simplifying b = 2
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