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Simplifying 4(-1 + 2b) + 5b = -3(1 + -4b) (-1 * 4 + 2b * 4) + 5b = -3(1 + -4b) (-4 + 8b) + 5b = -3(1 + -4b) Combine like terms: 8b + 5b = 13b -4 + 13b = -3(1 + -4b) -4 + 13b = (1 * -3 + -4b * -3) -4 + 13b = (-3 + 12b) Solving -4 + 13b = -3 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -4 + 13b + -12b = -3 + 12b + -12b Combine like terms: 13b + -12b = 1b -4 + 1b = -3 + 12b + -12b Combine like terms: 12b + -12b = 0 -4 + 1b = -3 + 0 -4 + 1b = -3 Add '4' to each side of the equation. -4 + 4 + 1b = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 1b = -3 + 4 1b = -3 + 4 Combine like terms: -3 + 4 = 1 1b = 1 Divide each side by '1'. b = 1 Simplifying b = 1
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