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Simplifying 2r + -1(5 + -1r) = 5(-3a + 1) 2r + (5 * -1 + -1r * -1) = 5(-3a + 1) 2r + (-5 + 1r) = 5(-3a + 1) Reorder the terms: -5 + 2r + 1r = 5(-3a + 1) Combine like terms: 2r + 1r = 3r -5 + 3r = 5(-3a + 1) Reorder the terms: -5 + 3r = 5(1 + -3a) -5 + 3r = (1 * 5 + -3a * 5) -5 + 3r = (5 + -15a) Solving -5 + 3r = 5 + -15a Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3r = 5 + 5 + -15a Combine like terms: -5 + 5 = 0 0 + 3r = 5 + 5 + -15a 3r = 5 + 5 + -15a Combine like terms: 5 + 5 = 10 3r = 10 + -15a Divide each side by '3'. r = 3.333333333 + -5a Simplifying r = 3.333333333 + -5a
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