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Simplifying 8(t + -2) + t = 5(3t + 3) + -11 Reorder the terms: 8(-2 + t) + t = 5(3t + 3) + -11 (-2 * 8 + t * 8) + t = 5(3t + 3) + -11 (-16 + 8t) + t = 5(3t + 3) + -11 Combine like terms: 8t + t = 9t -16 + 9t = 5(3t + 3) + -11 Reorder the terms: -16 + 9t = 5(3 + 3t) + -11 -16 + 9t = (3 * 5 + 3t * 5) + -11 -16 + 9t = (15 + 15t) + -11 Reorder the terms: -16 + 9t = 15 + -11 + 15t Combine like terms: 15 + -11 = 4 -16 + 9t = 4 + 15t Solving -16 + 9t = 4 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -16 + 9t + -15t = 4 + 15t + -15t Combine like terms: 9t + -15t = -6t -16 + -6t = 4 + 15t + -15t Combine like terms: 15t + -15t = 0 -16 + -6t = 4 + 0 -16 + -6t = 4 Add '16' to each side of the equation. -16 + 16 + -6t = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -6t = 4 + 16 -6t = 4 + 16 Combine like terms: 4 + 16 = 20 -6t = 20 Divide each side by '-6'. t = -3.333333333 Simplifying t = -3.333333333
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