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Simplifying -5b + 33 = 5(b + -6) Reorder the terms: 33 + -5b = 5(b + -6) Reorder the terms: 33 + -5b = 5(-6 + b) 33 + -5b = (-6 * 5 + b * 5) 33 + -5b = (-30 + 5b) Solving 33 + -5b = -30 + 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. 33 + -5b + -5b = -30 + 5b + -5b Combine like terms: -5b + -5b = -10b 33 + -10b = -30 + 5b + -5b Combine like terms: 5b + -5b = 0 33 + -10b = -30 + 0 33 + -10b = -30 Add '-33' to each side of the equation. 33 + -33 + -10b = -30 + -33 Combine like terms: 33 + -33 = 0 0 + -10b = -30 + -33 -10b = -30 + -33 Combine like terms: -30 + -33 = -63 -10b = -63 Divide each side by '-10'. b = 6.3 Simplifying b = 6.3
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