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Simplifying 6(3r + -5) = 5(2r + -6) Reorder the terms: 6(-5 + 3r) = 5(2r + -6) (-5 * 6 + 3r * 6) = 5(2r + -6) (-30 + 18r) = 5(2r + -6) Reorder the terms: -30 + 18r = 5(-6 + 2r) -30 + 18r = (-6 * 5 + 2r * 5) -30 + 18r = (-30 + 10r) Add '30' to each side of the equation. -30 + 30 + 18r = -30 + 30 + 10r Combine like terms: -30 + 30 = 0 0 + 18r = -30 + 30 + 10r 18r = -30 + 30 + 10r Combine like terms: -30 + 30 = 0 18r = 0 + 10r 18r = 10r Solving 18r = 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 18r + -10r = 10r + -10r Combine like terms: 18r + -10r = 8r 8r = 10r + -10r Combine like terms: 10r + -10r = 0 8r = 0 Divide each side by '8'. r = 0 Simplifying r = 0
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