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Simplifying 6(b + -5) = 10 + -1(3b + 4) Reorder the terms: 6(-5 + b) = 10 + -1(3b + 4) (-5 * 6 + b * 6) = 10 + -1(3b + 4) (-30 + 6b) = 10 + -1(3b + 4) Reorder the terms: -30 + 6b = 10 + -1(4 + 3b) -30 + 6b = 10 + (4 * -1 + 3b * -1) -30 + 6b = 10 + (-4 + -3b) Combine like terms: 10 + -4 = 6 -30 + 6b = 6 + -3b Solving -30 + 6b = 6 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -30 + 6b + 3b = 6 + -3b + 3b Combine like terms: 6b + 3b = 9b -30 + 9b = 6 + -3b + 3b Combine like terms: -3b + 3b = 0 -30 + 9b = 6 + 0 -30 + 9b = 6 Add '30' to each side of the equation. -30 + 30 + 9b = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 9b = 6 + 30 9b = 6 + 30 Combine like terms: 6 + 30 = 36 9b = 36 Divide each side by '9'. b = 4 Simplifying b = 4
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