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Simplifying -22 + 8r = -8r + 6(r + 3) Reorder the terms: -22 + 8r = -8r + 6(3 + r) -22 + 8r = -8r + (3 * 6 + r * 6) -22 + 8r = -8r + (18 + 6r) Reorder the terms: -22 + 8r = 18 + -8r + 6r Combine like terms: -8r + 6r = -2r -22 + 8r = 18 + -2r Solving -22 + 8r = 18 + -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. -22 + 8r + 2r = 18 + -2r + 2r Combine like terms: 8r + 2r = 10r -22 + 10r = 18 + -2r + 2r Combine like terms: -2r + 2r = 0 -22 + 10r = 18 + 0 -22 + 10r = 18 Add '22' to each side of the equation. -22 + 22 + 10r = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 10r = 18 + 22 10r = 18 + 22 Combine like terms: 18 + 22 = 40 10r = 40 Divide each side by '10'. r = 4 Simplifying r = 4
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