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Simplifying -11 + -8t = 7(t + 3) Reorder the terms: -11 + -8t = 7(3 + t) -11 + -8t = (3 * 7 + t * 7) -11 + -8t = (21 + 7t) Solving -11 + -8t = 21 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -11 + -8t + -7t = 21 + 7t + -7t Combine like terms: -8t + -7t = -15t -11 + -15t = 21 + 7t + -7t Combine like terms: 7t + -7t = 0 -11 + -15t = 21 + 0 -11 + -15t = 21 Add '11' to each side of the equation. -11 + 11 + -15t = 21 + 11 Combine like terms: -11 + 11 = 0 0 + -15t = 21 + 11 -15t = 21 + 11 Combine like terms: 21 + 11 = 32 -15t = 32 Divide each side by '-15'. t = -2.133333333 Simplifying t = -2.133333333
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