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Simplifying 3(b + -21) + 2(b + -2) = 23 Reorder the terms: 3(-21 + b) + 2(b + -2) = 23 (-21 * 3 + b * 3) + 2(b + -2) = 23 (-63 + 3b) + 2(b + -2) = 23 Reorder the terms: -63 + 3b + 2(-2 + b) = 23 -63 + 3b + (-2 * 2 + b * 2) = 23 -63 + 3b + (-4 + 2b) = 23 Reorder the terms: -63 + -4 + 3b + 2b = 23 Combine like terms: -63 + -4 = -67 -67 + 3b + 2b = 23 Combine like terms: 3b + 2b = 5b -67 + 5b = 23 Solving -67 + 5b = 23 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + 5b = 23 + 67 Combine like terms: -67 + 67 = 0 0 + 5b = 23 + 67 5b = 23 + 67 Combine like terms: 23 + 67 = 90 5b = 90 Divide each side by '5'. b = 18 Simplifying b = 18
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