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Simplifying 3(r + -6) + 2 = (r + 2) + -22 Reorder the terms: 3(-6 + r) + 2 = (r + 2) + -22 (-6 * 3 + r * 3) + 2 = (r + 2) + -22 (-18 + 3r) + 2 = (r + 2) + -22 Reorder the terms: -18 + 2 + 3r = (r + 2) + -22 Combine like terms: -18 + 2 = -16 -16 + 3r = (r + 2) + -22 Reorder the terms: -16 + 3r = (2 + r) + -22 Remove parenthesis around (2 + r) -16 + 3r = 2 + r + -22 Reorder the terms: -16 + 3r = 2 + -22 + r Combine like terms: 2 + -22 = -20 -16 + 3r = -20 + r Solving -16 + 3r = -20 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -16 + 3r + -1r = -20 + r + -1r Combine like terms: 3r + -1r = 2r -16 + 2r = -20 + r + -1r Combine like terms: r + -1r = 0 -16 + 2r = -20 + 0 -16 + 2r = -20 Add '16' to each side of the equation. -16 + 16 + 2r = -20 + 16 Combine like terms: -16 + 16 = 0 0 + 2r = -20 + 16 2r = -20 + 16 Combine like terms: -20 + 16 = -4 2r = -4 Divide each side by '2'. r = -2 Simplifying r = -2
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