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Simplifying 3 + -1(2t + 2) = 2(t + -3) + t Reorder the terms: 3 + -1(2 + 2t) = 2(t + -3) + t 3 + (2 * -1 + 2t * -1) = 2(t + -3) + t 3 + (-2 + -2t) = 2(t + -3) + t Combine like terms: 3 + -2 = 1 1 + -2t = 2(t + -3) + t Reorder the terms: 1 + -2t = 2(-3 + t) + t 1 + -2t = (-3 * 2 + t * 2) + t 1 + -2t = (-6 + 2t) + t Combine like terms: 2t + t = 3t 1 + -2t = -6 + 3t Solving 1 + -2t = -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. 1 + -2t + -3t = -6 + 3t + -3t Combine like terms: -2t + -3t = -5t 1 + -5t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + -5t = -6 + 0 1 + -5t = -6 Add '-1' to each side of the equation. 1 + -1 + -5t = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -5t = -6 + -1 -5t = -6 + -1 Combine like terms: -6 + -1 = -7 -5t = -7 Divide each side by '-5'. t = 1.4 Simplifying t = 1.4
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