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Simplifying 10(2b + -6) + -10b = -2b + -12(b + -1) Reorder the terms: 10(-6 + 2b) + -10b = -2b + -12(b + -1) (-6 * 10 + 2b * 10) + -10b = -2b + -12(b + -1) (-60 + 20b) + -10b = -2b + -12(b + -1) Combine like terms: 20b + -10b = 10b -60 + 10b = -2b + -12(b + -1) Reorder the terms: -60 + 10b = -2b + -12(-1 + b) -60 + 10b = -2b + (-1 * -12 + b * -12) -60 + 10b = -2b + (12 + -12b) Reorder the terms: -60 + 10b = 12 + -2b + -12b Combine like terms: -2b + -12b = -14b -60 + 10b = 12 + -14b Solving -60 + 10b = 12 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. -60 + 10b + 14b = 12 + -14b + 14b Combine like terms: 10b + 14b = 24b -60 + 24b = 12 + -14b + 14b Combine like terms: -14b + 14b = 0 -60 + 24b = 12 + 0 -60 + 24b = 12 Add '60' to each side of the equation. -60 + 60 + 24b = 12 + 60 Combine like terms: -60 + 60 = 0 0 + 24b = 12 + 60 24b = 12 + 60 Combine like terms: 12 + 60 = 72 24b = 72 Divide each side by '24'. b = 3 Simplifying b = 3
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