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Simplifying 4b + -3 = 5(b + 9) Reorder the terms: -3 + 4b = 5(b + 9) Reorder the terms: -3 + 4b = 5(9 + b) -3 + 4b = (9 * 5 + b * 5) -3 + 4b = (45 + 5b) Solving -3 + 4b = 45 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -3 + 4b + -5b = 45 + 5b + -5b Combine like terms: 4b + -5b = -1b -3 + -1b = 45 + 5b + -5b Combine like terms: 5b + -5b = 0 -3 + -1b = 45 + 0 -3 + -1b = 45 Add '3' to each side of the equation. -3 + 3 + -1b = 45 + 3 Combine like terms: -3 + 3 = 0 0 + -1b = 45 + 3 -1b = 45 + 3 Combine like terms: 45 + 3 = 48 -1b = 48 Divide each side by '-1'. b = -48 Simplifying b = -48
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