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Simplifying -8(4b + -4) + (33b + -7) = 0 Reorder the terms: -8(-4 + 4b) + (33b + -7) = 0 (-4 * -8 + 4b * -8) + (33b + -7) = 0 (32 + -32b) + (33b + -7) = 0 Reorder the terms: 32 + -32b + (-7 + 33b) = 0 Remove parenthesis around (-7 + 33b) 32 + -32b + -7 + 33b = 0 Reorder the terms: 32 + -7 + -32b + 33b = 0 Combine like terms: 32 + -7 = 25 25 + -32b + 33b = 0 Combine like terms: -32b + 33b = 1b 25 + 1b = 0 Solving 25 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1b = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 1b = 0 + -25 1b = 0 + -25 Combine like terms: 0 + -25 = -25 1b = -25 Divide each side by '1'. b = -25 Simplifying b = -25
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