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Simplifying 33 = -3(21 + -1b) + 3(b + -4) 33 = (21 * -3 + -1b * -3) + 3(b + -4) 33 = (-63 + 3b) + 3(b + -4) Reorder the terms: 33 = -63 + 3b + 3(-4 + b) 33 = -63 + 3b + (-4 * 3 + b * 3) 33 = -63 + 3b + (-12 + 3b) Reorder the terms: 33 = -63 + -12 + 3b + 3b Combine like terms: -63 + -12 = -75 33 = -75 + 3b + 3b Combine like terms: 3b + 3b = 6b 33 = -75 + 6b Solving 33 = -75 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 33 + -6b = -75 + 6b + -6b Combine like terms: 6b + -6b = 0 33 + -6b = -75 + 0 33 + -6b = -75 Add '-33' to each side of the equation. 33 + -33 + -6b = -75 + -33 Combine like terms: 33 + -33 = 0 0 + -6b = -75 + -33 -6b = -75 + -33 Combine like terms: -75 + -33 = -108 -6b = -108 Divide each side by '-6'. b = 18 Simplifying b = 18
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