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Simplifying -8 + -1 + -11b = 20 + 3(-5b + 13) Combine like terms: -8 + -1 = -9 -9 + -11b = 20 + 3(-5b + 13) Reorder the terms: -9 + -11b = 20 + 3(13 + -5b) -9 + -11b = 20 + (13 * 3 + -5b * 3) -9 + -11b = 20 + (39 + -15b) Combine like terms: 20 + 39 = 59 -9 + -11b = 59 + -15b Solving -9 + -11b = 59 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -9 + -11b + 15b = 59 + -15b + 15b Combine like terms: -11b + 15b = 4b -9 + 4b = 59 + -15b + 15b Combine like terms: -15b + 15b = 0 -9 + 4b = 59 + 0 -9 + 4b = 59 Add '9' to each side of the equation. -9 + 9 + 4b = 59 + 9 Combine like terms: -9 + 9 = 0 0 + 4b = 59 + 9 4b = 59 + 9 Combine like terms: 59 + 9 = 68 4b = 68 Divide each side by '4'. b = 17 Simplifying b = 17
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