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Simplifying -5(R + 6) = 5(R + -4) Reorder the terms: -5(6 + R) = 5(R + -4) (6 * -5 + R * -5) = 5(R + -4) (-30 + -5R) = 5(R + -4) Reorder the terms: -30 + -5R = 5(-4 + R) -30 + -5R = (-4 * 5 + R * 5) -30 + -5R = (-20 + 5R) Solving -30 + -5R = -20 + 5R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-5R' to each side of the equation. -30 + -5R + -5R = -20 + 5R + -5R Combine like terms: -5R + -5R = -10R -30 + -10R = -20 + 5R + -5R Combine like terms: 5R + -5R = 0 -30 + -10R = -20 + 0 -30 + -10R = -20 Add '30' to each side of the equation. -30 + 30 + -10R = -20 + 30 Combine like terms: -30 + 30 = 0 0 + -10R = -20 + 30 -10R = -20 + 30 Combine like terms: -20 + 30 = 10 -10R = 10 Divide each side by '-10'. R = -1 Simplifying R = -1
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