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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 = -6b -18 + -6b = 7(b + -10) Reorder the terms: -18 + -6b = 7(-10 + b) -18 + -6b = (-10 * 7 + b * 7) -18 + -6b = (-70 + 7b) Solving -18 + -6b = -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 + -6b + -7b = -70 + 7b + -7b Combine like terms: -6b + -7b = -13b -18 + -13b = -70 + 7b + -7b Combine like terms: 7b + -7b = 0 -18 + -13b = -70 + 0 -18 + -13b = -70 Add '18' to each side of the equation. -18 + 18 + -13b = -70 + 18 Combine like terms: -18 + 18 = 0 0 + -13b = -70 + 18 -13b = -70 + 18 Combine like terms: -70 + 18 = -52 -13b = -52 Divide each side by '-13'. b = 4 Simplifying b = 4
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