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Simplifying -14 + -8r = 6 + -1(6 + r) -14 + -8r = 6 + (6 * -1 + r * -1) -14 + -8r = 6 + (-6 + -1r) Combine like terms: 6 + -6 = 0 -14 + -8r = 0 + -1r -14 + -8r = -1r Solving -14 + -8r = -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -14 + -8r + r = -1r + r Combine like terms: -8r + r = -7r -14 + -7r = -1r + r Combine like terms: -1r + r = 0 -14 + -7r = 0 Add '14' to each side of the equation. -14 + 14 + -7r = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7r = 0 + 14 -7r = 0 + 14 Combine like terms: 0 + 14 = 14 -7r = 14 Divide each side by '-7'. r = -2 Simplifying r = -2
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