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Simplifying -6 + -4r = 5(r + -2) + -5r Reorder the terms: -6 + -4r = 5(-2 + r) + -5r -6 + -4r = (-2 * 5 + r * 5) + -5r -6 + -4r = (-10 + 5r) + -5r Combine like terms: 5r + -5r = 0 -6 + -4r = -10 + 0 -6 + -4r = -10 Solving -6 + -4r = -10 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -4r = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -4r = -10 + 6 -4r = -10 + 6 Combine like terms: -10 + 6 = -4 -4r = -4 Divide each side by '-4'. r = 1 Simplifying r = 1
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