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Simplifying 15 + 3(4x + -2b) = 5b + -2x Reorder the terms: 15 + 3(-2b + 4x) = 5b + -2x 15 + (-2b * 3 + 4x * 3) = 5b + -2x 15 + (-6b + 12x) = 5b + -2x Solving 15 + -6b + 12x = 5b + -2x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 15 + -6b + -5b + 12x = 5b + -5b + -2x Combine like terms: -6b + -5b = -11b 15 + -11b + 12x = 5b + -5b + -2x Combine like terms: 5b + -5b = 0 15 + -11b + 12x = 0 + -2x 15 + -11b + 12x = -2x Add '-15' to each side of the equation. 15 + -11b + -15 + 12x = -15 + -2x Reorder the terms: 15 + -15 + -11b + 12x = -15 + -2x Combine like terms: 15 + -15 = 0 0 + -11b + 12x = -15 + -2x -11b + 12x = -15 + -2x Add '-12x' to each side of the equation. -11b + 12x + -12x = -15 + -2x + -12x Combine like terms: 12x + -12x = 0 -11b + 0 = -15 + -2x + -12x -11b = -15 + -2x + -12x Combine like terms: -2x + -12x = -14x -11b = -15 + -14x Divide each side by '-11'. b = 1.363636364 + 1.272727273x Simplifying b = 1.363636364 + 1.272727273x
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