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Simplifying 330 = 10(4b + -7) + 10b Reorder the terms: 330 = 10(-7 + 4b) + 10b 330 = (-7 * 10 + 4b * 10) + 10b 330 = (-70 + 40b) + 10b Combine like terms: 40b + 10b = 50b 330 = -70 + 50b Solving 330 = -70 + 50b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-50b' to each side of the equation. 330 + -50b = -70 + 50b + -50b Combine like terms: 50b + -50b = 0 330 + -50b = -70 + 0 330 + -50b = -70 Add '-330' to each side of the equation. 330 + -330 + -50b = -70 + -330 Combine like terms: 330 + -330 = 0 0 + -50b = -70 + -330 -50b = -70 + -330 Combine like terms: -70 + -330 = -400 -50b = -400 Divide each side by '-50'. b = 8 Simplifying b = 8
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