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