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Simplifying -5r + -3 = -3(r + -2) Reorder the terms: -3 + -5r = -3(r + -2) Reorder the terms: -3 + -5r = -3(-2 + r) -3 + -5r = (-2 * -3 + r * -3) -3 + -5r = (6 + -3r) Solving -3 + -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. -3 + -5r + 3r = 6 + -3r + 3r Combine like terms: -5r + 3r = -2r -3 + -2r = 6 + -3r + 3r Combine like terms: -3r + 3r = 0 -3 + -2r = 6 + 0 -3 + -2r = 6 Add '3' to each side of the equation. -3 + 3 + -2r = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -2r = 6 + 3 -2r = 6 + 3 Combine like terms: 6 + 3 = 9 -2r = 9 Divide each side by '-2'. r = -4.5 Simplifying r = -4.5
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