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Simplifying (33b + -8) + -8(4b + 1) = -3 Reorder the terms: (-8 + 33b) + -8(4b + 1) = -3 Remove parenthesis around (-8 + 33b) -8 + 33b + -8(4b + 1) = -3 Reorder the terms: -8 + 33b + -8(1 + 4b) = -3 -8 + 33b + (1 * -8 + 4b * -8) = -3 -8 + 33b + (-8 + -32b) = -3 Reorder the terms: -8 + -8 + 33b + -32b = -3 Combine like terms: -8 + -8 = -16 -16 + 33b + -32b = -3 Combine like terms: 33b + -32b = 1b -16 + 1b = -3 Solving -16 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1b = -3 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = -3 + 16 1b = -3 + 16 Combine like terms: -3 + 16 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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