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Simplifying -6(r + 5) = 2(r + -7) Reorder the terms: -6(5 + r) = 2(r + -7) (5 * -6 + r * -6) = 2(r + -7) (-30 + -6r) = 2(r + -7) Reorder the terms: -30 + -6r = 2(-7 + r) -30 + -6r = (-7 * 2 + r * 2) -30 + -6r = (-14 + 2r) Solving -30 + -6r = -14 + 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. -30 + -6r + -2r = -14 + 2r + -2r Combine like terms: -6r + -2r = -8r -30 + -8r = -14 + 2r + -2r Combine like terms: 2r + -2r = 0 -30 + -8r = -14 + 0 -30 + -8r = -14 Add '30' to each side of the equation. -30 + 30 + -8r = -14 + 30 Combine like terms: -30 + 30 = 0 0 + -8r = -14 + 30 -8r = -14 + 30 Combine like terms: -14 + 30 = 16 -8r = 16 Divide each side by '-8'. r = -2 Simplifying r = -2
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