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Simplifying -9b + -3(b + -6) = 7(b + -10) Reorder the terms: -9b + -3(-6 + b) = 7(b + -10) -9b + (-6 * -3 + b * -3) = 7(b + -10) -9b + (18 + -3b) = 7(b + -10) Reorder the terms: 18 + -9b + -3b = 7(b + -10) Combine like terms: -9b + -3b = -12b 18 + -12b = 7(b + -10) Reorder the terms: 18 + -12b = 7(-10 + b) 18 + -12b = (-10 * 7 + b * 7) 18 + -12b = (-70 + 7b) Solving 18 + -12b = -70 + 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. 18 + -12b + -7b = -70 + 7b + -7b Combine like terms: -12b + -7b = -19b 18 + -19b = -70 + 7b + -7b Combine like terms: 7b + -7b = 0 18 + -19b = -70 + 0 18 + -19b = -70 Add '-18' to each side of the equation. 18 + -18 + -19b = -70 + -18 Combine like terms: 18 + -18 = 0 0 + -19b = -70 + -18 -19b = -70 + -18 Combine like terms: -70 + -18 = -88 -19b = -88 Divide each side by '-19'. b = 4.631578947 Simplifying b = 4.631578947
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