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Simplifying 6(3t + -4) + 10 = 5(r + -2) + -1(3t + 4) Reorder the terms: 6(-4 + 3t) + 10 = 5(r + -2) + -1(3t + 4) (-4 * 6 + 3t * 6) + 10 = 5(r + -2) + -1(3t + 4) (-24 + 18t) + 10 = 5(r + -2) + -1(3t + 4) Reorder the terms: -24 + 10 + 18t = 5(r + -2) + -1(3t + 4) Combine like terms: -24 + 10 = -14 -14 + 18t = 5(r + -2) + -1(3t + 4) Reorder the terms: -14 + 18t = 5(-2 + r) + -1(3t + 4) -14 + 18t = (-2 * 5 + r * 5) + -1(3t + 4) -14 + 18t = (-10 + 5r) + -1(3t + 4) Reorder the terms: -14 + 18t = -10 + 5r + -1(4 + 3t) -14 + 18t = -10 + 5r + (4 * -1 + 3t * -1) -14 + 18t = -10 + 5r + (-4 + -3t) Reorder the terms: -14 + 18t = -10 + -4 + 5r + -3t Combine like terms: -10 + -4 = -14 -14 + 18t = -14 + 5r + -3t Add '14' to each side of the equation. -14 + 14 + 18t = -14 + 5r + 14 + -3t Combine like terms: -14 + 14 = 0 0 + 18t = -14 + 5r + 14 + -3t 18t = -14 + 5r + 14 + -3t Reorder the terms: 18t = -14 + 14 + 5r + -3t Combine like terms: -14 + 14 = 0 18t = 0 + 5r + -3t 18t = 5r + -3t Solving 18t = 5r + -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. 18t + 3t = 5r + -3t + 3t Combine like terms: 18t + 3t = 21t 21t = 5r + -3t + 3t Combine like terms: -3t + 3t = 0 21t = 5r + 0 21t = 5r Divide each side by '21'. t = 0.2380952381r Simplifying t = 0.2380952381r
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