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Simplifying 4r + -3(2r + 2) = 2r + 2 Reorder the terms: 4r + -3(2 + 2r) = 2r + 2 4r + (2 * -3 + 2r * -3) = 2r + 2 4r + (-6 + -6r) = 2r + 2 Reorder the terms: -6 + 4r + -6r = 2r + 2 Combine like terms: 4r + -6r = -2r -6 + -2r = 2r + 2 Reorder the terms: -6 + -2r = 2 + 2r Solving -6 + -2r = 2 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -6 + -2r + -2r = 2 + 2r + -2r Combine like terms: -2r + -2r = -4r -6 + -4r = 2 + 2r + -2r Combine like terms: 2r + -2r = 0 -6 + -4r = 2 + 0 -6 + -4r = 2 Add '6' to each side of the equation. -6 + 6 + -4r = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -4r = 2 + 6 -4r = 2 + 6 Combine like terms: 2 + 6 = 8 -4r = 8 Divide each side by '-4'. r = -2 Simplifying r = -2
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