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Simplifying 15(r + -2) + -4(r + 4) = 7 Reorder the terms: 15(-2 + r) + -4(r + 4) = 7 (-2 * 15 + r * 15) + -4(r + 4) = 7 (-30 + 15r) + -4(r + 4) = 7 Reorder the terms: -30 + 15r + -4(4 + r) = 7 -30 + 15r + (4 * -4 + r * -4) = 7 -30 + 15r + (-16 + -4r) = 7 Reorder the terms: -30 + -16 + 15r + -4r = 7 Combine like terms: -30 + -16 = -46 -46 + 15r + -4r = 7 Combine like terms: 15r + -4r = 11r -46 + 11r = 7 Solving -46 + 11r = 7 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 11r = 7 + 46 Combine like terms: -46 + 46 = 0 0 + 11r = 7 + 46 11r = 7 + 46 Combine like terms: 7 + 46 = 53 11r = 53 Divide each side by '11'. r = 4.818181818 Simplifying r = 4.818181818
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