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Simplifying -14r + -6 = -2(6r + 8) Reorder the terms: -6 + -14r = -2(6r + 8) Reorder the terms: -6 + -14r = -2(8 + 6r) -6 + -14r = (8 * -2 + 6r * -2) -6 + -14r = (-16 + -12r) Solving -6 + -14r = -16 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -6 + -14r + 12r = -16 + -12r + 12r Combine like terms: -14r + 12r = -2r -6 + -2r = -16 + -12r + 12r Combine like terms: -12r + 12r = 0 -6 + -2r = -16 + 0 -6 + -2r = -16 Add '6' to each side of the equation. -6 + 6 + -2r = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -2r = -16 + 6 -2r = -16 + 6 Combine like terms: -16 + 6 = -10 -2r = -10 Divide each side by '-2'. r = 5 Simplifying r = 5
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