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Simplifying 30 + -6r = 8 + 2(5r + -5) Reorder the terms: 30 + -6r = 8 + 2(-5 + 5r) 30 + -6r = 8 + (-5 * 2 + 5r * 2) 30 + -6r = 8 + (-10 + 10r) Combine like terms: 8 + -10 = -2 30 + -6r = -2 + 10r Solving 30 + -6r = -2 + 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. 30 + -6r + -10r = -2 + 10r + -10r Combine like terms: -6r + -10r = -16r 30 + -16r = -2 + 10r + -10r Combine like terms: 10r + -10r = 0 30 + -16r = -2 + 0 30 + -16r = -2 Add '-30' to each side of the equation. 30 + -30 + -16r = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -16r = -2 + -30 -16r = -2 + -30 Combine like terms: -2 + -30 = -32 -16r = -32 Divide each side by '-16'. r = 2 Simplifying r = 2
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