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Simplifying 5(2r + -1) + -2(3r + 8) = 15 Reorder the terms: 5(-1 + 2r) + -2(3r + 8) = 15 (-1 * 5 + 2r * 5) + -2(3r + 8) = 15 (-5 + 10r) + -2(3r + 8) = 15 Reorder the terms: -5 + 10r + -2(8 + 3r) = 15 -5 + 10r + (8 * -2 + 3r * -2) = 15 -5 + 10r + (-16 + -6r) = 15 Reorder the terms: -5 + -16 + 10r + -6r = 15 Combine like terms: -5 + -16 = -21 -21 + 10r + -6r = 15 Combine like terms: 10r + -6r = 4r -21 + 4r = 15 Solving -21 + 4r = 15 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 4r = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 4r = 15 + 21 4r = 15 + 21 Combine like terms: 15 + 21 = 36 4r = 36 Divide each side by '4'. r = 9 Simplifying r = 9
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