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Simplifying 2(6b + -5) + 5b = -1(b + -3) + 5 Reorder the terms: 2(-5 + 6b) + 5b = -1(b + -3) + 5 (-5 * 2 + 6b * 2) + 5b = -1(b + -3) + 5 (-10 + 12b) + 5b = -1(b + -3) + 5 Combine like terms: 12b + 5b = 17b -10 + 17b = -1(b + -3) + 5 Reorder the terms: -10 + 17b = -1(-3 + b) + 5 -10 + 17b = (-3 * -1 + b * -1) + 5 -10 + 17b = (3 + -1b) + 5 Reorder the terms: -10 + 17b = 3 + 5 + -1b Combine like terms: 3 + 5 = 8 -10 + 17b = 8 + -1b Solving -10 + 17b = 8 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -10 + 17b + b = 8 + -1b + b Combine like terms: 17b + b = 18b -10 + 18b = 8 + -1b + b Combine like terms: -1b + b = 0 -10 + 18b = 8 + 0 -10 + 18b = 8 Add '10' to each side of the equation. -10 + 10 + 18b = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 18b = 8 + 10 18b = 8 + 10 Combine like terms: 8 + 10 = 18 18b = 18 Divide each side by '18'. b = 1 Simplifying b = 1
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