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Simplifying 4b + 10s + 33 = 7b + 10s Reorder the terms: 33 + 4b + 10s = 7b + 10s Add '-10s' to each side of the equation. 33 + 4b + 10s + -10s = 7b + 10s + -10s Combine like terms: 10s + -10s = 0 33 + 4b + 0 = 7b + 10s + -10s 33 + 4b = 7b + 10s + -10s Combine like terms: 10s + -10s = 0 33 + 4b = 7b + 0 33 + 4b = 7b Solving 33 + 4b = 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 33 + 4b + -7b = 7b + -7b Combine like terms: 4b + -7b = -3b 33 + -3b = 7b + -7b Combine like terms: 7b + -7b = 0 33 + -3b = 0 Add '-33' to each side of the equation. 33 + -33 + -3b = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -3b = 0 + -33 -3b = 0 + -33 Combine like terms: 0 + -33 = -33 -3b = -33 Divide each side by '-3'. b = 11 Simplifying b = 11
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