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Simplifying 3(r + -5) + -2r = -11 + 3 Reorder the terms: 3(-5 + r) + -2r = -11 + 3 (-5 * 3 + r * 3) + -2r = -11 + 3 (-15 + 3r) + -2r = -11 + 3 Combine like terms: 3r + -2r = 1r -15 + 1r = -11 + 3 Combine like terms: -11 + 3 = -8 -15 + 1r = -8 Solving -15 + 1r = -8 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1r = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 1r = -8 + 15 1r = -8 + 15 Combine like terms: -8 + 15 = 7 1r = 7 Divide each side by '1'. r = 7 Simplifying r = 7
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