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Simplifying 5(-10r + 10) = 6r + 50 Reorder the terms: 5(10 + -10r) = 6r + 50 (10 * 5 + -10r * 5) = 6r + 50 (50 + -50r) = 6r + 50 Reorder the terms: 50 + -50r = 50 + 6r Add '-50' to each side of the equation. 50 + -50 + -50r = 50 + -50 + 6r Combine like terms: 50 + -50 = 0 0 + -50r = 50 + -50 + 6r -50r = 50 + -50 + 6r Combine like terms: 50 + -50 = 0 -50r = 0 + 6r -50r = 6r Solving -50r = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -50r + -6r = 6r + -6r Combine like terms: -50r + -6r = -56r -56r = 6r + -6r Combine like terms: 6r + -6r = 0 -56r = 0 Divide each side by '-56'. r = 0 Simplifying r = 0
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