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Simplifying 26 + 7b = 7(2b + -4) + 5 Reorder the terms: 26 + 7b = 7(-4 + 2b) + 5 26 + 7b = (-4 * 7 + 2b * 7) + 5 26 + 7b = (-28 + 14b) + 5 Reorder the terms: 26 + 7b = -28 + 5 + 14b Combine like terms: -28 + 5 = -23 26 + 7b = -23 + 14b Solving 26 + 7b = -23 + 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. 26 + 7b + -14b = -23 + 14b + -14b Combine like terms: 7b + -14b = -7b 26 + -7b = -23 + 14b + -14b Combine like terms: 14b + -14b = 0 26 + -7b = -23 + 0 26 + -7b = -23 Add '-26' to each side of the equation. 26 + -26 + -7b = -23 + -26 Combine like terms: 26 + -26 = 0 0 + -7b = -23 + -26 -7b = -23 + -26 Combine like terms: -23 + -26 = -49 -7b = -49 Divide each side by '-7'. b = 7 Simplifying b = 7
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