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Simplifying 8b + 2 = 3(5b + -4) Reorder the terms: 2 + 8b = 3(5b + -4) Reorder the terms: 2 + 8b = 3(-4 + 5b) 2 + 8b = (-4 * 3 + 5b * 3) 2 + 8b = (-12 + 15b) Solving 2 + 8b = -12 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 2 + 8b + -15b = -12 + 15b + -15b Combine like terms: 8b + -15b = -7b 2 + -7b = -12 + 15b + -15b Combine like terms: 15b + -15b = 0 2 + -7b = -12 + 0 2 + -7b = -12 Add '-2' to each side of the equation. 2 + -2 + -7b = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -7b = -12 + -2 -7b = -12 + -2 Combine like terms: -12 + -2 = -14 -7b = -14 Divide each side by '-7'. b = 2 Simplifying b = 2
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