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Simplifying 5b + 33 = 2(-1 + 5b) Reorder the terms: 33 + 5b = 2(-1 + 5b) 33 + 5b = (-1 * 2 + 5b * 2) 33 + 5b = (-2 + 10b) Solving 33 + 5b = -2 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 33 + 5b + -10b = -2 + 10b + -10b Combine like terms: 5b + -10b = -5b 33 + -5b = -2 + 10b + -10b Combine like terms: 10b + -10b = 0 33 + -5b = -2 + 0 33 + -5b = -2 Add '-33' to each side of the equation. 33 + -33 + -5b = -2 + -33 Combine like terms: 33 + -33 = 0 0 + -5b = -2 + -33 -5b = -2 + -33 Combine like terms: -2 + -33 = -35 -5b = -35 Divide each side by '-5'. b = 7 Simplifying b = 7
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