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Simplifying -7(8r + -4) + -5(1 + 2r) = 23 Reorder the terms: -7(-4 + 8r) + -5(1 + 2r) = 23 (-4 * -7 + 8r * -7) + -5(1 + 2r) = 23 (28 + -56r) + -5(1 + 2r) = 23 28 + -56r + (1 * -5 + 2r * -5) = 23 28 + -56r + (-5 + -10r) = 23 Reorder the terms: 28 + -5 + -56r + -10r = 23 Combine like terms: 28 + -5 = 23 23 + -56r + -10r = 23 Combine like terms: -56r + -10r = -66r 23 + -66r = 23 Add '-23' to each side of the equation. 23 + -23 + -66r = 23 + -23 Combine like terms: 23 + -23 = 0 0 + -66r = 23 + -23 -66r = 23 + -23 Combine like terms: 23 + -23 = 0 -66r = 0 Solving -66r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '-66'. r = 0 Simplifying r = 0
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