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Simplifying 3b + -39 = 9(b + -7) Reorder the terms: -39 + 3b = 9(b + -7) Reorder the terms: -39 + 3b = 9(-7 + b) -39 + 3b = (-7 * 9 + b * 9) -39 + 3b = (-63 + 9b) Solving -39 + 3b = -63 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -39 + 3b + -9b = -63 + 9b + -9b Combine like terms: 3b + -9b = -6b -39 + -6b = -63 + 9b + -9b Combine like terms: 9b + -9b = 0 -39 + -6b = -63 + 0 -39 + -6b = -63 Add '39' to each side of the equation. -39 + 39 + -6b = -63 + 39 Combine like terms: -39 + 39 = 0 0 + -6b = -63 + 39 -6b = -63 + 39 Combine like terms: -63 + 39 = -24 -6b = -24 Divide each side by '-6'. b = 4 Simplifying b = 4
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