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Simplifying r + -1(4 + 2r) = -1(4r + -7) + 4 r + (4 * -1 + 2r * -1) = -1(4r + -7) + 4 r + (-4 + -2r) = -1(4r + -7) + 4 Reorder the terms: -4 + r + -2r = -1(4r + -7) + 4 Combine like terms: r + -2r = -1r -4 + -1r = -1(4r + -7) + 4 Reorder the terms: -4 + -1r = -1(-7 + 4r) + 4 -4 + -1r = (-7 * -1 + 4r * -1) + 4 -4 + -1r = (7 + -4r) + 4 Reorder the terms: -4 + -1r = 7 + 4 + -4r Combine like terms: 7 + 4 = 11 -4 + -1r = 11 + -4r Solving -4 + -1r = 11 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -4 + -1r + 4r = 11 + -4r + 4r Combine like terms: -1r + 4r = 3r -4 + 3r = 11 + -4r + 4r Combine like terms: -4r + 4r = 0 -4 + 3r = 11 + 0 -4 + 3r = 11 Add '4' to each side of the equation. -4 + 4 + 3r = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 3r = 11 + 4 3r = 11 + 4 Combine like terms: 11 + 4 = 15 3r = 15 Divide each side by '3'. r = 5 Simplifying r = 5
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