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Simplifying 5(-8r + -2) = 2(-10 + -15r) Reorder the terms: 5(-2 + -8r) = 2(-10 + -15r) (-2 * 5 + -8r * 5) = 2(-10 + -15r) (-10 + -40r) = 2(-10 + -15r) -10 + -40r = (-10 * 2 + -15r * 2) -10 + -40r = (-20 + -30r) Solving -10 + -40r = -20 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. -10 + -40r + 30r = -20 + -30r + 30r Combine like terms: -40r + 30r = -10r -10 + -10r = -20 + -30r + 30r Combine like terms: -30r + 30r = 0 -10 + -10r = -20 + 0 -10 + -10r = -20 Add '10' to each side of the equation. -10 + 10 + -10r = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -10r = -20 + 10 -10r = -20 + 10 Combine like terms: -20 + 10 = -10 -10r = -10 Divide each side by '-10'. r = 1 Simplifying r = 1
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