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Simplifying -7b + 28 = -8(5 + 3b) Reorder the terms: 28 + -7b = -8(5 + 3b) 28 + -7b = (5 * -8 + 3b * -8) 28 + -7b = (-40 + -24b) Solving 28 + -7b = -40 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. 28 + -7b + 24b = -40 + -24b + 24b Combine like terms: -7b + 24b = 17b 28 + 17b = -40 + -24b + 24b Combine like terms: -24b + 24b = 0 28 + 17b = -40 + 0 28 + 17b = -40 Add '-28' to each side of the equation. 28 + -28 + 17b = -40 + -28 Combine like terms: 28 + -28 = 0 0 + 17b = -40 + -28 17b = -40 + -28 Combine like terms: -40 + -28 = -68 17b = -68 Divide each side by '17'. b = -4 Simplifying b = -4
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