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Simplifying 5(b + -3) = 4(b + 1) Reorder the terms: 5(-3 + b) = 4(b + 1) (-3 * 5 + b * 5) = 4(b + 1) (-15 + 5b) = 4(b + 1) Reorder the terms: -15 + 5b = 4(1 + b) -15 + 5b = (1 * 4 + b * 4) -15 + 5b = (4 + 4b) Solving -15 + 5b = 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. -15 + 5b + -4b = 4 + 4b + -4b Combine like terms: 5b + -4b = 1b -15 + 1b = 4 + 4b + -4b Combine like terms: 4b + -4b = 0 -15 + 1b = 4 + 0 -15 + 1b = 4 Add '15' to each side of the equation. -15 + 15 + 1b = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = 4 + 15 1b = 4 + 15 Combine like terms: 4 + 15 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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