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Simplifying 2(r + -5) = 3 + -1(4 + t) Reorder the terms: 2(-5 + r) = 3 + -1(4 + t) (-5 * 2 + r * 2) = 3 + -1(4 + t) (-10 + 2r) = 3 + -1(4 + t) -10 + 2r = 3 + (4 * -1 + t * -1) -10 + 2r = 3 + (-4 + -1t) Combine like terms: 3 + -4 = -1 -10 + 2r = -1 + -1t Solving -10 + 2r = -1 + -1t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2r = -1 + 10 + -1t Combine like terms: -10 + 10 = 0 0 + 2r = -1 + 10 + -1t 2r = -1 + 10 + -1t Combine like terms: -1 + 10 = 9 2r = 9 + -1t Divide each side by '2'. r = 4.5 + -0.5t Simplifying r = 4.5 + -0.5t
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