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Simplifying 4(2b + -6) + 11 = 86 + -13 Reorder the terms: 4(-6 + 2b) + 11 = 86 + -13 (-6 * 4 + 2b * 4) + 11 = 86 + -13 (-24 + 8b) + 11 = 86 + -13 Reorder the terms: -24 + 11 + 8b = 86 + -13 Combine like terms: -24 + 11 = -13 -13 + 8b = 86 + -13 Combine like terms: 86 + -13 = 73 -13 + 8b = 73 Solving -13 + 8b = 73 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8b = 73 + 13 Combine like terms: -13 + 13 = 0 0 + 8b = 73 + 13 8b = 73 + 13 Combine like terms: 73 + 13 = 86 8b = 86 Divide each side by '8'. b = 10.75 Simplifying b = 10.75
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