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Simplifying 4(2b + -6) + 11 = 8b + -6t Reorder the terms: 4(-6 + 2b) + 11 = 8b + -6t (-6 * 4 + 2b * 4) + 11 = 8b + -6t (-24 + 8b) + 11 = 8b + -6t Reorder the terms: -24 + 11 + 8b = 8b + -6t Combine like terms: -24 + 11 = -13 -13 + 8b = 8b + -6t Add '-8b' to each side of the equation. -13 + 8b + -8b = 8b + -8b + -6t Combine like terms: 8b + -8b = 0 -13 + 0 = 8b + -8b + -6t -13 = 8b + -8b + -6t Combine like terms: 8b + -8b = 0 -13 = 0 + -6t -13 = -6t Solving -13 = -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -13 + 6t = -6t + 6t Combine like terms: -6t + 6t = 0 -13 + 6t = 0 Add '13' to each side of the equation. -13 + 13 + 6t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6t = 0 + 13 6t = 0 + 13 Combine like terms: 0 + 13 = 13 6t = 13 Divide each side by '6'. t = 2.166666667 Simplifying t = 2.166666667
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