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Simplifying -2 + -1(5 + -3t) = -3t + -6 -2 + (5 * -1 + -3t * -1) = -3t + -6 -2 + (-5 + 3t) = -3t + -6 Combine like terms: -2 + -5 = -7 -7 + 3t = -3t + -6 Reorder the terms: -7 + 3t = -6 + -3t Solving -7 + 3t = -6 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -7 + 3t + 3t = -6 + -3t + 3t Combine like terms: 3t + 3t = 6t -7 + 6t = -6 + -3t + 3t Combine like terms: -3t + 3t = 0 -7 + 6t = -6 + 0 -7 + 6t = -6 Add '7' to each side of the equation. -7 + 7 + 6t = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 6t = -6 + 7 6t = -6 + 7 Combine like terms: -6 + 7 = 1 6t = 1 Divide each side by '6'. t = 0.1666666667 Simplifying t = 0.1666666667
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