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Simplifying t + -6t = -13 + t + -1(-3) Combine like terms: t + -6t = -5t -5t = -13 + t + -1(-3) Multiply -1 * -3 -5t = -13 + t + 3 Reorder the terms: -5t = -13 + 3 + t Combine like terms: -13 + 3 = -10 -5t = -10 + t Solving -5t = -10 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -5t + -1t = -10 + t + -1t Combine like terms: -5t + -1t = -6t -6t = -10 + t + -1t Combine like terms: t + -1t = 0 -6t = -10 + 0 -6t = -10 Divide each side by '-6'. t = 1.666666667 Simplifying t = 1.666666667
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