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Simplifying 112 = -1b + -4(5b + -7) Reorder the terms: 112 = -1b + -4(-7 + 5b) 112 = -1b + (-7 * -4 + 5b * -4) 112 = -1b + (28 + -20b) Reorder the terms: 112 = 28 + -1b + -20b Combine like terms: -1b + -20b = -21b 112 = 28 + -21b Solving 112 = 28 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. 112 + 21b = 28 + -21b + 21b Combine like terms: -21b + 21b = 0 112 + 21b = 28 + 0 112 + 21b = 28 Add '-112' to each side of the equation. 112 + -112 + 21b = 28 + -112 Combine like terms: 112 + -112 = 0 0 + 21b = 28 + -112 21b = 28 + -112 Combine like terms: 28 + -112 = -84 21b = -84 Divide each side by '21'. b = -4 Simplifying b = -4
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