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Simplifying -5(4 + 4r) + 2(8r + 7) = -34 (4 * -5 + 4r * -5) + 2(8r + 7) = -34 (-20 + -20r) + 2(8r + 7) = -34 Reorder the terms: -20 + -20r + 2(7 + 8r) = -34 -20 + -20r + (7 * 2 + 8r * 2) = -34 -20 + -20r + (14 + 16r) = -34 Reorder the terms: -20 + 14 + -20r + 16r = -34 Combine like terms: -20 + 14 = -6 -6 + -20r + 16r = -34 Combine like terms: -20r + 16r = -4r -6 + -4r = -34 Solving -6 + -4r = -34 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -4r = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -4r = -34 + 6 -4r = -34 + 6 Combine like terms: -34 + 6 = -28 -4r = -28 Divide each side by '-4'. r = 7 Simplifying r = 7
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