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Simplifying 3 + -6(2 + -3t) = t + -5 3 + (2 * -6 + -3t * -6) = t + -5 3 + (-12 + 18t) = t + -5 Combine like terms: 3 + -12 = -9 -9 + 18t = t + -5 Reorder the terms: -9 + 18t = -5 + t Solving -9 + 18t = -5 + 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. -9 + 18t + -1t = -5 + t + -1t Combine like terms: 18t + -1t = 17t -9 + 17t = -5 + t + -1t Combine like terms: t + -1t = 0 -9 + 17t = -5 + 0 -9 + 17t = -5 Add '9' to each side of the equation. -9 + 9 + 17t = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 17t = -5 + 9 17t = -5 + 9 Combine like terms: -5 + 9 = 4 17t = 4 Divide each side by '17'. t = 0.2352941176 Simplifying t = 0.2352941176
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