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Simplifying 5(7r + -3) = -3r + 23 Reorder the terms: 5(-3 + 7r) = -3r + 23 (-3 * 5 + 7r * 5) = -3r + 23 (-15 + 35r) = -3r + 23 Reorder the terms: -15 + 35r = 23 + -3r Solving -15 + 35r = 23 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -15 + 35r + 3r = 23 + -3r + 3r Combine like terms: 35r + 3r = 38r -15 + 38r = 23 + -3r + 3r Combine like terms: -3r + 3r = 0 -15 + 38r = 23 + 0 -15 + 38r = 23 Add '15' to each side of the equation. -15 + 15 + 38r = 23 + 15 Combine like terms: -15 + 15 = 0 0 + 38r = 23 + 15 38r = 23 + 15 Combine like terms: 23 + 15 = 38 38r = 38 Divide each side by '38'. r = 1 Simplifying r = 1
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