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Simplifying 15 + 3(4z + -2b) = 5b + -2z Reorder the terms: 15 + 3(-2b + 4z) = 5b + -2z 15 + (-2b * 3 + 4z * 3) = 5b + -2z 15 + (-6b + 12z) = 5b + -2z Solving 15 + -6b + 12z = 5b + -2z 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 + 12z = 5b + -5b + -2z Combine like terms: -6b + -5b = -11b 15 + -11b + 12z = 5b + -5b + -2z Combine like terms: 5b + -5b = 0 15 + -11b + 12z = 0 + -2z 15 + -11b + 12z = -2z Add '-15' to each side of the equation. 15 + -11b + -15 + 12z = -15 + -2z Reorder the terms: 15 + -15 + -11b + 12z = -15 + -2z Combine like terms: 15 + -15 = 0 0 + -11b + 12z = -15 + -2z -11b + 12z = -15 + -2z Add '-12z' to each side of the equation. -11b + 12z + -12z = -15 + -2z + -12z Combine like terms: 12z + -12z = 0 -11b + 0 = -15 + -2z + -12z -11b = -15 + -2z + -12z Combine like terms: -2z + -12z = -14z -11b = -15 + -14z Divide each side by '-11'. b = 1.363636364 + 1.272727273z Simplifying b = 1.363636364 + 1.272727273z
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