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Simplifying 6 + -3(-8 + 8b) = -3(4b + 2) 6 + (-8 * -3 + 8b * -3) = -3(4b + 2) 6 + (24 + -24b) = -3(4b + 2) Combine like terms: 6 + 24 = 30 30 + -24b = -3(4b + 2) Reorder the terms: 30 + -24b = -3(2 + 4b) 30 + -24b = (2 * -3 + 4b * -3) 30 + -24b = (-6 + -12b) Solving 30 + -24b = -6 + -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. 30 + -24b + 12b = -6 + -12b + 12b Combine like terms: -24b + 12b = -12b 30 + -12b = -6 + -12b + 12b Combine like terms: -12b + 12b = 0 30 + -12b = -6 + 0 30 + -12b = -6 Add '-30' to each side of the equation. 30 + -30 + -12b = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -12b = -6 + -30 -12b = -6 + -30 Combine like terms: -6 + -30 = -36 -12b = -36 Divide each side by '-12'. b = 3 Simplifying b = 3
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