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Simplifying -6(2 + 7b) = 33 + 3b (2 * -6 + 7b * -6) = 33 + 3b (-12 + -42b) = 33 + 3b Solving -12 + -42b = 33 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -12 + -42b + -3b = 33 + 3b + -3b Combine like terms: -42b + -3b = -45b -12 + -45b = 33 + 3b + -3b Combine like terms: 3b + -3b = 0 -12 + -45b = 33 + 0 -12 + -45b = 33 Add '12' to each side of the equation. -12 + 12 + -45b = 33 + 12 Combine like terms: -12 + 12 = 0 0 + -45b = 33 + 12 -45b = 33 + 12 Combine like terms: 33 + 12 = 45 -45b = 45 Divide each side by '-45'. b = -1 Simplifying b = -1
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