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Simplifying -3 + 3r = -10(10r + -10) Reorder the terms: -3 + 3r = -10(-10 + 10r) -3 + 3r = (-10 * -10 + 10r * -10) -3 + 3r = (100 + -100r) Solving -3 + 3r = 100 + -100r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '100r' to each side of the equation. -3 + 3r + 100r = 100 + -100r + 100r Combine like terms: 3r + 100r = 103r -3 + 103r = 100 + -100r + 100r Combine like terms: -100r + 100r = 0 -3 + 103r = 100 + 0 -3 + 103r = 100 Add '3' to each side of the equation. -3 + 3 + 103r = 100 + 3 Combine like terms: -3 + 3 = 0 0 + 103r = 100 + 3 103r = 100 + 3 Combine like terms: 100 + 3 = 103 103r = 103 Divide each side by '103'. r = 1 Simplifying r = 1
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