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Simplifying (33b + -7) + -8(4b + 1) = -7 Reorder the terms: (-7 + 33b) + -8(4b + 1) = -7 Remove parenthesis around (-7 + 33b) -7 + 33b + -8(4b + 1) = -7 Reorder the terms: -7 + 33b + -8(1 + 4b) = -7 -7 + 33b + (1 * -8 + 4b * -8) = -7 -7 + 33b + (-8 + -32b) = -7 Reorder the terms: -7 + -8 + 33b + -32b = -7 Combine like terms: -7 + -8 = -15 -15 + 33b + -32b = -7 Combine like terms: 33b + -32b = 1b -15 + 1b = -7 Solving -15 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -7 + 15 1b = -7 + 15 Combine like terms: -7 + 15 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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