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Simplifying 20 + 16b + -6b = -18 + 2(7b + -15) Combine like terms: 16b + -6b = 10b 20 + 10b = -18 + 2(7b + -15) Reorder the terms: 20 + 10b = -18 + 2(-15 + 7b) 20 + 10b = -18 + (-15 * 2 + 7b * 2) 20 + 10b = -18 + (-30 + 14b) Combine like terms: -18 + -30 = -48 20 + 10b = -48 + 14b Solving 20 + 10b = -48 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 20 + 10b + -14b = -48 + 14b + -14b Combine like terms: 10b + -14b = -4b 20 + -4b = -48 + 14b + -14b Combine like terms: 14b + -14b = 0 20 + -4b = -48 + 0 20 + -4b = -48 Add '-20' to each side of the equation. 20 + -20 + -4b = -48 + -20 Combine like terms: 20 + -20 = 0 0 + -4b = -48 + -20 -4b = -48 + -20 Combine like terms: -48 + -20 = -68 -4b = -68 Divide each side by '-4'. b = 17 Simplifying b = 17
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