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Simplifying 5b + -2(2b + -1) + -16 = 10(3 + -1b) Reorder the terms: 5b + -2(-1 + 2b) + -16 = 10(3 + -1b) 5b + (-1 * -2 + 2b * -2) + -16 = 10(3 + -1b) 5b + (2 + -4b) + -16 = 10(3 + -1b) Reorder the terms: 2 + -16 + 5b + -4b = 10(3 + -1b) Combine like terms: 2 + -16 = -14 -14 + 5b + -4b = 10(3 + -1b) Combine like terms: 5b + -4b = 1b -14 + 1b = 10(3 + -1b) -14 + 1b = (3 * 10 + -1b * 10) -14 + 1b = (30 + -10b) Solving -14 + 1b = 30 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. -14 + 1b + 10b = 30 + -10b + 10b Combine like terms: 1b + 10b = 11b -14 + 11b = 30 + -10b + 10b Combine like terms: -10b + 10b = 0 -14 + 11b = 30 + 0 -14 + 11b = 30 Add '14' to each side of the equation. -14 + 14 + 11b = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 11b = 30 + 14 11b = 30 + 14 Combine like terms: 30 + 14 = 44 11b = 44 Divide each side by '11'. b = 4 Simplifying b = 4
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