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Simplifying -7(r + 4) + 5(4r + -2) = 40 Reorder the terms: -7(4 + r) + 5(4r + -2) = 40 (4 * -7 + r * -7) + 5(4r + -2) = 40 (-28 + -7r) + 5(4r + -2) = 40 Reorder the terms: -28 + -7r + 5(-2 + 4r) = 40 -28 + -7r + (-2 * 5 + 4r * 5) = 40 -28 + -7r + (-10 + 20r) = 40 Reorder the terms: -28 + -10 + -7r + 20r = 40 Combine like terms: -28 + -10 = -38 -38 + -7r + 20r = 40 Combine like terms: -7r + 20r = 13r -38 + 13r = 40 Solving -38 + 13r = 40 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 13r = 40 + 38 Combine like terms: -38 + 38 = 0 0 + 13r = 40 + 38 13r = 40 + 38 Combine like terms: 40 + 38 = 78 13r = 78 Divide each side by '13'. r = 6 Simplifying r = 6
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