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Simplifying -5(r + 6) = -3r + -30 Reorder the terms: -5(6 + r) = -3r + -30 (6 * -5 + r * -5) = -3r + -30 (-30 + -5r) = -3r + -30 Reorder the terms: -30 + -5r = -30 + -3r Add '30' to each side of the equation. -30 + 30 + -5r = -30 + 30 + -3r Combine like terms: -30 + 30 = 0 0 + -5r = -30 + 30 + -3r -5r = -30 + 30 + -3r Combine like terms: -30 + 30 = 0 -5r = 0 + -3r -5r = -3r Solving -5r = -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. -5r + 3r = -3r + 3r Combine like terms: -5r + 3r = -2r -2r = -3r + 3r Combine like terms: -3r + 3r = 0 -2r = 0 Divide each side by '-2'. r = 0 Simplifying r = 0
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