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Simplifying -6 + 7r = 2 + 6(-8 + 2r) -6 + 7r = 2 + (-8 * 6 + 2r * 6) -6 + 7r = 2 + (-48 + 12r) Combine like terms: 2 + -48 = -46 -6 + 7r = -46 + 12r Solving -6 + 7r = -46 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -6 + 7r + -12r = -46 + 12r + -12r Combine like terms: 7r + -12r = -5r -6 + -5r = -46 + 12r + -12r Combine like terms: 12r + -12r = 0 -6 + -5r = -46 + 0 -6 + -5r = -46 Add '6' to each side of the equation. -6 + 6 + -5r = -46 + 6 Combine like terms: -6 + 6 = 0 0 + -5r = -46 + 6 -5r = -46 + 6 Combine like terms: -46 + 6 = -40 -5r = -40 Divide each side by '-5'. r = 8 Simplifying r = 8
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