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Simplifying 3(2b + -5) + -1b = 4 + -1(3b + 7) Reorder the terms: 3(-5 + 2b) + -1b = 4 + -1(3b + 7) (-5 * 3 + 2b * 3) + -1b = 4 + -1(3b + 7) (-15 + 6b) + -1b = 4 + -1(3b + 7) Combine like terms: 6b + -1b = 5b -15 + 5b = 4 + -1(3b + 7) Reorder the terms: -15 + 5b = 4 + -1(7 + 3b) -15 + 5b = 4 + (7 * -1 + 3b * -1) -15 + 5b = 4 + (-7 + -3b) Combine like terms: 4 + -7 = -3 -15 + 5b = -3 + -3b Solving -15 + 5b = -3 + -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. -15 + 5b + 3b = -3 + -3b + 3b Combine like terms: 5b + 3b = 8b -15 + 8b = -3 + -3b + 3b Combine like terms: -3b + 3b = 0 -15 + 8b = -3 + 0 -15 + 8b = -3 Add '15' to each side of the equation. -15 + 15 + 8b = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 8b = -3 + 15 8b = -3 + 15 Combine like terms: -3 + 15 = 12 8b = 12 Divide each side by '8'. b = 1.5 Simplifying b = 1.5
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