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Simplifying -5(3 + 2r) = -3 + -6r (3 * -5 + 2r * -5) = -3 + -6r (-15 + -10r) = -3 + -6r Solving -15 + -10r = -3 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -15 + -10r + 6r = -3 + -6r + 6r Combine like terms: -10r + 6r = -4r -15 + -4r = -3 + -6r + 6r Combine like terms: -6r + 6r = 0 -15 + -4r = -3 + 0 -15 + -4r = -3 Add '15' to each side of the equation. -15 + 15 + -4r = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -4r = -3 + 15 -4r = -3 + 15 Combine like terms: -3 + 15 = 12 -4r = 12 Divide each side by '-4'. r = -3 Simplifying r = -3
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