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Simplifying 6(3t + -4) + 10 = 5(r + -2) + -1(3 + 4) Reorder the terms: 6(-4 + 3t) + 10 = 5(r + -2) + -1(3 + 4) (-4 * 6 + 3t * 6) + 10 = 5(r + -2) + -1(3 + 4) (-24 + 18t) + 10 = 5(r + -2) + -1(3 + 4) Reorder the terms: -24 + 10 + 18t = 5(r + -2) + -1(3 + 4) Combine like terms: -24 + 10 = -14 -14 + 18t = 5(r + -2) + -1(3 + 4) Reorder the terms: -14 + 18t = 5(-2 + r) + -1(3 + 4) -14 + 18t = (-2 * 5 + r * 5) + -1(3 + 4) -14 + 18t = (-10 + 5r) + -1(3 + 4) Combine like terms: 3 + 4 = 7 -14 + 18t = -10 + 5r + -1(7) Multiply -1 * 7 -14 + 18t = -10 + 5r + -7 Reorder the terms: -14 + 18t = -10 + -7 + 5r Combine like terms: -10 + -7 = -17 -14 + 18t = -17 + 5r Solving -14 + 18t = -17 + 5r Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 18t = -17 + 14 + 5r Combine like terms: -14 + 14 = 0 0 + 18t = -17 + 14 + 5r 18t = -17 + 14 + 5r Combine like terms: -17 + 14 = -3 18t = -3 + 5r Divide each side by '18'. t = -0.1666666667 + 0.2777777778r Simplifying t = -0.1666666667 + 0.2777777778r
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