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Simplifying 4[5 + -2b] + 3[2b + -10] = -7[b + 2] [5 * 4 + -2b * 4] + 3[2b + -10] = -7[b + 2] [20 + -8b] + 3[2b + -10] = -7[b + 2] Reorder the terms: 20 + -8b + 3[-10 + 2b] = -7[b + 2] 20 + -8b + [-10 * 3 + 2b * 3] = -7[b + 2] 20 + -8b + [-30 + 6b] = -7[b + 2] Reorder the terms: 20 + -30 + -8b + 6b = -7[b + 2] Combine like terms: 20 + -30 = -10 -10 + -8b + 6b = -7[b + 2] Combine like terms: -8b + 6b = -2b -10 + -2b = -7[b + 2] Reorder the terms: -10 + -2b = -7[2 + b] -10 + -2b = [2 * -7 + b * -7] -10 + -2b = [-14 + -7b] Solving -10 + -2b = -14 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -10 + -2b + 7b = -14 + -7b + 7b Combine like terms: -2b + 7b = 5b -10 + 5b = -14 + -7b + 7b Combine like terms: -7b + 7b = 0 -10 + 5b = -14 + 0 -10 + 5b = -14 Add '10' to each side of the equation. -10 + 10 + 5b = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 5b = -14 + 10 5b = -14 + 10 Combine like terms: -14 + 10 = -4 5b = -4 Divide each side by '5'. b = -0.8 Simplifying b = -0.8
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