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Simplifying 33 + 3b = 9(5b + -2) Reorder the terms: 33 + 3b = 9(-2 + 5b) 33 + 3b = (-2 * 9 + 5b * 9) 33 + 3b = (-18 + 45b) Solving 33 + 3b = -18 + 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. 33 + 3b + -45b = -18 + 45b + -45b Combine like terms: 3b + -45b = -42b 33 + -42b = -18 + 45b + -45b Combine like terms: 45b + -45b = 0 33 + -42b = -18 + 0 33 + -42b = -18 Add '-33' to each side of the equation. 33 + -33 + -42b = -18 + -33 Combine like terms: 33 + -33 = 0 0 + -42b = -18 + -33 -42b = -18 + -33 Combine like terms: -18 + -33 = -51 -42b = -51 Divide each side by '-42'. b = 1.214285714 Simplifying b = 1.214285714
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