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Simplifying 33 + -4b = 2(b + -4) + 5 Reorder the terms: 33 + -4b = 2(-4 + b) + 5 33 + -4b = (-4 * 2 + b * 2) + 5 33 + -4b = (-8 + 2b) + 5 Reorder the terms: 33 + -4b = -8 + 5 + 2b Combine like terms: -8 + 5 = -3 33 + -4b = -3 + 2b Solving 33 + -4b = -3 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 33 + -4b + -2b = -3 + 2b + -2b Combine like terms: -4b + -2b = -6b 33 + -6b = -3 + 2b + -2b Combine like terms: 2b + -2b = 0 33 + -6b = -3 + 0 33 + -6b = -3 Add '-33' to each side of the equation. 33 + -33 + -6b = -3 + -33 Combine like terms: 33 + -33 = 0 0 + -6b = -3 + -33 -6b = -3 + -33 Combine like terms: -3 + -33 = -36 -6b = -36 Divide each side by '-6'. b = 6 Simplifying b = 6
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