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Simplifying 4(t + -2) + 9t = 3t + -6 Reorder the terms: 4(-2 + t) + 9t = 3t + -6 (-2 * 4 + t * 4) + 9t = 3t + -6 (-8 + 4t) + 9t = 3t + -6 Combine like terms: 4t + 9t = 13t -8 + 13t = 3t + -6 Reorder the terms: -8 + 13t = -6 + 3t Solving -8 + 13t = -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. -8 + 13t + -3t = -6 + 3t + -3t Combine like terms: 13t + -3t = 10t -8 + 10t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 10t = -6 + 0 -8 + 10t = -6 Add '8' to each side of the equation. -8 + 8 + 10t = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 10t = -6 + 8 10t = -6 + 8 Combine like terms: -6 + 8 = 2 10t = 2 Divide each side by '10'. t = 0.2 Simplifying t = 0.2
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