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Simplifying -1(t + 3) = -1 + 2(t + -3) Reorder the terms: -1(3 + t) = -1 + 2(t + -3) (3 * -1 + t * -1) = -1 + 2(t + -3) (-3 + -1t) = -1 + 2(t + -3) Reorder the terms: -3 + -1t = -1 + 2(-3 + t) -3 + -1t = -1 + (-3 * 2 + t * 2) -3 + -1t = -1 + (-6 + 2t) Combine like terms: -1 + -6 = -7 -3 + -1t = -7 + 2t Solving -3 + -1t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -3 + -1t + -2t = -7 + 2t + -2t Combine like terms: -1t + -2t = -3t -3 + -3t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 -3 + -3t = -7 + 0 -3 + -3t = -7 Add '3' to each side of the equation. -3 + 3 + -3t = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -3t = -7 + 3 -3t = -7 + 3 Combine like terms: -7 + 3 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333
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