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Simplifying 6(r + -3) + -2 = -4 + 2r Reorder the terms: 6(-3 + r) + -2 = -4 + 2r (-3 * 6 + r * 6) + -2 = -4 + 2r (-18 + 6r) + -2 = -4 + 2r Reorder the terms: -18 + -2 + 6r = -4 + 2r Combine like terms: -18 + -2 = -20 -20 + 6r = -4 + 2r Solving -20 + 6r = -4 + 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. -20 + 6r + -2r = -4 + 2r + -2r Combine like terms: 6r + -2r = 4r -20 + 4r = -4 + 2r + -2r Combine like terms: 2r + -2r = 0 -20 + 4r = -4 + 0 -20 + 4r = -4 Add '20' to each side of the equation. -20 + 20 + 4r = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 4r = -4 + 20 4r = -4 + 20 Combine like terms: -4 + 20 = 16 4r = 16 Divide each side by '4'. r = 4 Simplifying r = 4
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