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Simplifying 7t + 6(t + -2) = 4r + 10(2t + 1) Reorder the terms: 7t + 6(-2 + t) = 4r + 10(2t + 1) 7t + (-2 * 6 + t * 6) = 4r + 10(2t + 1) 7t + (-12 + 6t) = 4r + 10(2t + 1) Reorder the terms: -12 + 7t + 6t = 4r + 10(2t + 1) Combine like terms: 7t + 6t = 13t -12 + 13t = 4r + 10(2t + 1) Reorder the terms: -12 + 13t = 4r + 10(1 + 2t) -12 + 13t = 4r + (1 * 10 + 2t * 10) -12 + 13t = 4r + (10 + 20t) Reorder the terms: -12 + 13t = 10 + 4r + 20t Solving -12 + 13t = 10 + 4r + 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. -12 + 13t + -20t = 10 + 4r + 20t + -20t Combine like terms: 13t + -20t = -7t -12 + -7t = 10 + 4r + 20t + -20t Combine like terms: 20t + -20t = 0 -12 + -7t = 10 + 4r + 0 -12 + -7t = 10 + 4r Add '12' to each side of the equation. -12 + 12 + -7t = 10 + 12 + 4r Combine like terms: -12 + 12 = 0 0 + -7t = 10 + 12 + 4r -7t = 10 + 12 + 4r Combine like terms: 10 + 12 = 22 -7t = 22 + 4r Divide each side by '-7'. t = -3.142857143 + -0.5714285714r Simplifying t = -3.142857143 + -0.5714285714r
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