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Simplifying 7(7r + -5) = -5(4r + 3) Reorder the terms: 7(-5 + 7r) = -5(4r + 3) (-5 * 7 + 7r * 7) = -5(4r + 3) (-35 + 49r) = -5(4r + 3) Reorder the terms: -35 + 49r = -5(3 + 4r) -35 + 49r = (3 * -5 + 4r * -5) -35 + 49r = (-15 + -20r) Solving -35 + 49r = -15 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. -35 + 49r + 20r = -15 + -20r + 20r Combine like terms: 49r + 20r = 69r -35 + 69r = -15 + -20r + 20r Combine like terms: -20r + 20r = 0 -35 + 69r = -15 + 0 -35 + 69r = -15 Add '35' to each side of the equation. -35 + 35 + 69r = -15 + 35 Combine like terms: -35 + 35 = 0 0 + 69r = -15 + 35 69r = -15 + 35 Combine like terms: -15 + 35 = 20 69r = 20 Divide each side by '69'. r = 0.2898550725 Simplifying r = 0.2898550725
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