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Simplifying 4b + -7 = -8(1 + 4b) + 1 Reorder the terms: -7 + 4b = -8(1 + 4b) + 1 -7 + 4b = (1 * -8 + 4b * -8) + 1 -7 + 4b = (-8 + -32b) + 1 Reorder the terms: -7 + 4b = -8 + 1 + -32b Combine like terms: -8 + 1 = -7 -7 + 4b = -7 + -32b Add '7' to each side of the equation. -7 + 7 + 4b = -7 + 7 + -32b Combine like terms: -7 + 7 = 0 0 + 4b = -7 + 7 + -32b 4b = -7 + 7 + -32b Combine like terms: -7 + 7 = 0 4b = 0 + -32b 4b = -32b Solving 4b = -32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32b' to each side of the equation. 4b + 32b = -32b + 32b Combine like terms: 4b + 32b = 36b 36b = -32b + 32b Combine like terms: -32b + 32b = 0 36b = 0 Divide each side by '36'. b = 0 Simplifying b = 0
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