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Simplifying 2(r + -5) = 3 + -1(4 + r) Reorder the terms: 2(-5 + r) = 3 + -1(4 + r) (-5 * 2 + r * 2) = 3 + -1(4 + r) (-10 + 2r) = 3 + -1(4 + r) -10 + 2r = 3 + (4 * -1 + r * -1) -10 + 2r = 3 + (-4 + -1r) Combine like terms: 3 + -4 = -1 -10 + 2r = -1 + -1r Solving -10 + 2r = -1 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -10 + 2r + r = -1 + -1r + r Combine like terms: 2r + r = 3r -10 + 3r = -1 + -1r + r Combine like terms: -1r + r = 0 -10 + 3r = -1 + 0 -10 + 3r = -1 Add '10' to each side of the equation. -10 + 10 + 3r = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 3r = -1 + 10 3r = -1 + 10 Combine like terms: -1 + 10 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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