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Simplifying 4(-7 + 4r) + -5(r + -2) = 15 (-7 * 4 + 4r * 4) + -5(r + -2) = 15 (-28 + 16r) + -5(r + -2) = 15 Reorder the terms: -28 + 16r + -5(-2 + r) = 15 -28 + 16r + (-2 * -5 + r * -5) = 15 -28 + 16r + (10 + -5r) = 15 Reorder the terms: -28 + 10 + 16r + -5r = 15 Combine like terms: -28 + 10 = -18 -18 + 16r + -5r = 15 Combine like terms: 16r + -5r = 11r -18 + 11r = 15 Solving -18 + 11r = 15 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 11r = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 11r = 15 + 18 11r = 15 + 18 Combine like terms: 15 + 18 = 33 11r = 33 Divide each side by '11'. r = 3 Simplifying r = 3
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