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Simplifying 7(t + -2) = 8 + -1(-6) Reorder the terms: 7(-2 + t) = 8 + -1(-6) (-2 * 7 + t * 7) = 8 + -1(-6) (-14 + 7t) = 8 + -1(-6) Multiply -1 * -6 -14 + 7t = 8 + 6 Combine like terms: 8 + 6 = 14 -14 + 7t = 14 Solving -14 + 7t = 14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7t = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 7t = 14 + 14 7t = 14 + 14 Combine like terms: 14 + 14 = 28 7t = 28 Divide each side by '7'. t = 4 Simplifying t = 4
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