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Simplifying -5(2 + r) = 3(2 + r) (2 * -5 + r * -5) = 3(2 + r) (-10 + -5r) = 3(2 + r) -10 + -5r = (2 * 3 + r * 3) -10 + -5r = (6 + 3r) Solving -10 + -5r = 6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -10 + -5r + -3r = 6 + 3r + -3r Combine like terms: -5r + -3r = -8r -10 + -8r = 6 + 3r + -3r Combine like terms: 3r + -3r = 0 -10 + -8r = 6 + 0 -10 + -8r = 6 Add '10' to each side of the equation. -10 + 10 + -8r = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -8r = 6 + 10 -8r = 6 + 10 Combine like terms: 6 + 10 = 16 -8r = 16 Divide each side by '-8'. r = -2 Simplifying r = -2
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