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Simplifying 6(t + -4) + 6t = (2t + 3) + -9 Reorder the terms: 6(-4 + t) + 6t = (2t + 3) + -9 (-4 * 6 + t * 6) + 6t = (2t + 3) + -9 (-24 + 6t) + 6t = (2t + 3) + -9 Combine like terms: 6t + 6t = 12t -24 + 12t = (2t + 3) + -9 Reorder the terms: -24 + 12t = (3 + 2t) + -9 Remove parenthesis around (3 + 2t) -24 + 12t = 3 + 2t + -9 Reorder the terms: -24 + 12t = 3 + -9 + 2t Combine like terms: 3 + -9 = -6 -24 + 12t = -6 + 2t Solving -24 + 12t = -6 + 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. -24 + 12t + -2t = -6 + 2t + -2t Combine like terms: 12t + -2t = 10t -24 + 10t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 -24 + 10t = -6 + 0 -24 + 10t = -6 Add '24' to each side of the equation. -24 + 24 + 10t = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 10t = -6 + 24 10t = -6 + 24 Combine like terms: -6 + 24 = 18 10t = 18 Divide each side by '10'. t = 1.8 Simplifying t = 1.8
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