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Simplifying (33b + -7) + -8(4b + 2) = -4 Reorder the terms: (-7 + 33b) + -8(4b + 2) = -4 Remove parenthesis around (-7 + 33b) -7 + 33b + -8(4b + 2) = -4 Reorder the terms: -7 + 33b + -8(2 + 4b) = -4 -7 + 33b + (2 * -8 + 4b * -8) = -4 -7 + 33b + (-16 + -32b) = -4 Reorder the terms: -7 + -16 + 33b + -32b = -4 Combine like terms: -7 + -16 = -23 -23 + 33b + -32b = -4 Combine like terms: 33b + -32b = 1b -23 + 1b = -4 Solving -23 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1b = -4 + 23 Combine like terms: -23 + 23 = 0 0 + 1b = -4 + 23 1b = -4 + 23 Combine like terms: -4 + 23 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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