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Simplifying 5 + -1(t + 3) = -1 + 2(r + -3) Reorder the terms: 5 + -1(3 + t) = -1 + 2(r + -3) 5 + (3 * -1 + t * -1) = -1 + 2(r + -3) 5 + (-3 + -1t) = -1 + 2(r + -3) Combine like terms: 5 + -3 = 2 2 + -1t = -1 + 2(r + -3) Reorder the terms: 2 + -1t = -1 + 2(-3 + r) 2 + -1t = -1 + (-3 * 2 + r * 2) 2 + -1t = -1 + (-6 + 2r) Combine like terms: -1 + -6 = -7 2 + -1t = -7 + 2r Solving 2 + -1t = -7 + 2r Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = -7 + -2 + 2r Combine like terms: 2 + -2 = 0 0 + -1t = -7 + -2 + 2r -1t = -7 + -2 + 2r Combine like terms: -7 + -2 = -9 -1t = -9 + 2r Divide each side by '-1'. t = 9 + -2r Simplifying t = 9 + -2r
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