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Simplifying 4(4 + -2b) = -3(-2 + -4b) + -30 (4 * 4 + -2b * 4) = -3(-2 + -4b) + -30 (16 + -8b) = -3(-2 + -4b) + -30 16 + -8b = (-2 * -3 + -4b * -3) + -30 16 + -8b = (6 + 12b) + -30 Reorder the terms: 16 + -8b = 6 + -30 + 12b Combine like terms: 6 + -30 = -24 16 + -8b = -24 + 12b Solving 16 + -8b = -24 + 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. 16 + -8b + -12b = -24 + 12b + -12b Combine like terms: -8b + -12b = -20b 16 + -20b = -24 + 12b + -12b Combine like terms: 12b + -12b = 0 16 + -20b = -24 + 0 16 + -20b = -24 Add '-16' to each side of the equation. 16 + -16 + -20b = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -20b = -24 + -16 -20b = -24 + -16 Combine like terms: -24 + -16 = -40 -20b = -40 Divide each side by '-20'. b = 2 Simplifying b = 2
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