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Simplifying -6(2r + 8) = 2(x + -10) Reorder the terms: -6(8 + 2r) = 2(x + -10) (8 * -6 + 2r * -6) = 2(x + -10) (-48 + -12r) = 2(x + -10) Reorder the terms: -48 + -12r = 2(-10 + x) -48 + -12r = (-10 * 2 + x * 2) -48 + -12r = (-20 + 2x) Solving -48 + -12r = -20 + 2x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -12r = -20 + 48 + 2x Combine like terms: -48 + 48 = 0 0 + -12r = -20 + 48 + 2x -12r = -20 + 48 + 2x Combine like terms: -20 + 48 = 28 -12r = 28 + 2x Divide each side by '-12'. r = -2.333333333 + -0.1666666667x Simplifying r = -2.333333333 + -0.1666666667x
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