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Simplifying -3(t + 5) = 2(4t + 2) Reorder the terms: -3(5 + t) = 2(4t + 2) (5 * -3 + t * -3) = 2(4t + 2) (-15 + -3t) = 2(4t + 2) Reorder the terms: -15 + -3t = 2(2 + 4t) -15 + -3t = (2 * 2 + 4t * 2) -15 + -3t = (4 + 8t) Solving -15 + -3t = 4 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -15 + -3t + -8t = 4 + 8t + -8t Combine like terms: -3t + -8t = -11t -15 + -11t = 4 + 8t + -8t Combine like terms: 8t + -8t = 0 -15 + -11t = 4 + 0 -15 + -11t = 4 Add '15' to each side of the equation. -15 + 15 + -11t = 4 + 15 Combine like terms: -15 + 15 = 0 0 + -11t = 4 + 15 -11t = 4 + 15 Combine like terms: 4 + 15 = 19 -11t = 19 Divide each side by '-11'. t = -1.727272727 Simplifying t = -1.727272727
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