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Simplifying 7(b + -10) = 2(4 + -3b) Reorder the terms: 7(-10 + b) = 2(4 + -3b) (-10 * 7 + b * 7) = 2(4 + -3b) (-70 + 7b) = 2(4 + -3b) -70 + 7b = (4 * 2 + -3b * 2) -70 + 7b = (8 + -6b) Solving -70 + 7b = 8 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -70 + 7b + 6b = 8 + -6b + 6b Combine like terms: 7b + 6b = 13b -70 + 13b = 8 + -6b + 6b Combine like terms: -6b + 6b = 0 -70 + 13b = 8 + 0 -70 + 13b = 8 Add '70' to each side of the equation. -70 + 70 + 13b = 8 + 70 Combine like terms: -70 + 70 = 0 0 + 13b = 8 + 70 13b = 8 + 70 Combine like terms: 8 + 70 = 78 13b = 78 Divide each side by '13'. b = 6 Simplifying b = 6
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