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Simplifying -33 = (6b + 3) + -5(b + -5) Reorder the terms: -33 = (3 + 6b) + -5(b + -5) Remove parenthesis around (3 + 6b) -33 = 3 + 6b + -5(b + -5) Reorder the terms: -33 = 3 + 6b + -5(-5 + b) -33 = 3 + 6b + (-5 * -5 + b * -5) -33 = 3 + 6b + (25 + -5b) Reorder the terms: -33 = 3 + 25 + 6b + -5b Combine like terms: 3 + 25 = 28 -33 = 28 + 6b + -5b Combine like terms: 6b + -5b = 1b -33 = 28 + 1b Solving -33 = 28 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -33 + -1b = 28 + 1b + -1b Combine like terms: 1b + -1b = 0 -33 + -1b = 28 + 0 -33 + -1b = 28 Add '33' to each side of the equation. -33 + 33 + -1b = 28 + 33 Combine like terms: -33 + 33 = 0 0 + -1b = 28 + 33 -1b = 28 + 33 Combine like terms: 28 + 33 = 61 -1b = 61 Divide each side by '-1'. b = -61 Simplifying b = -61
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