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Simplifying 6(r + 2) = -10(a + -5) Reorder the terms: 6(2 + r) = -10(a + -5) (2 * 6 + r * 6) = -10(a + -5) (12 + 6r) = -10(a + -5) Reorder the terms: 12 + 6r = -10(-5 + a) 12 + 6r = (-5 * -10 + a * -10) 12 + 6r = (50 + -10a) Solving 12 + 6r = 50 + -10a Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6r = 50 + -12 + -10a Combine like terms: 12 + -12 = 0 0 + 6r = 50 + -12 + -10a 6r = 50 + -12 + -10a Combine like terms: 50 + -12 = 38 6r = 38 + -10a Divide each side by '6'. r = 6.333333333 + -1.666666667a Simplifying r = 6.333333333 + -1.666666667a
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