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Simplifying -2(t + 2) + 5t = 2(r + -4) + -6 Reorder the terms: -2(2 + t) + 5t = 2(r + -4) + -6 (2 * -2 + t * -2) + 5t = 2(r + -4) + -6 (-4 + -2t) + 5t = 2(r + -4) + -6 Combine like terms: -2t + 5t = 3t -4 + 3t = 2(r + -4) + -6 Reorder the terms: -4 + 3t = 2(-4 + r) + -6 -4 + 3t = (-4 * 2 + r * 2) + -6 -4 + 3t = (-8 + 2r) + -6 Reorder the terms: -4 + 3t = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 -4 + 3t = -14 + 2r Solving -4 + 3t = -14 + 2r Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3t = -14 + 4 + 2r Combine like terms: -4 + 4 = 0 0 + 3t = -14 + 4 + 2r 3t = -14 + 4 + 2r Combine like terms: -14 + 4 = -10 3t = -10 + 2r Divide each side by '3'. t = -3.333333333 + 0.6666666667r Simplifying t = -3.333333333 + 0.6666666667r
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