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Simplifying 5(t + -3) = -1 + 2(t + -3) Reorder the terms: 5(-3 + t) = -1 + 2(t + -3) (-3 * 5 + t * 5) = -1 + 2(t + -3) (-15 + 5t) = -1 + 2(t + -3) Reorder the terms: -15 + 5t = -1 + 2(-3 + t) -15 + 5t = -1 + (-3 * 2 + t * 2) -15 + 5t = -1 + (-6 + 2t) Combine like terms: -1 + -6 = -7 -15 + 5t = -7 + 2t Solving -15 + 5t = -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. -15 + 5t + -2t = -7 + 2t + -2t Combine like terms: 5t + -2t = 3t -15 + 3t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 -15 + 3t = -7 + 0 -15 + 3t = -7 Add '15' to each side of the equation. -15 + 15 + 3t = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 3t = -7 + 15 3t = -7 + 15 Combine like terms: -7 + 15 = 8 3t = 8 Divide each side by '3'. t = 2.666666667 Simplifying t = 2.666666667
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