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Simplifying 2(-5 + -1r) + -3r = -1(7 + 4r) (-5 * 2 + -1r * 2) + -3r = -1(7 + 4r) (-10 + -2r) + -3r = -1(7 + 4r) Combine like terms: -2r + -3r = -5r -10 + -5r = -1(7 + 4r) -10 + -5r = (7 * -1 + 4r * -1) -10 + -5r = (-7 + -4r) Solving -10 + -5r = -7 + -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. -10 + -5r + 4r = -7 + -4r + 4r Combine like terms: -5r + 4r = -1r -10 + -1r = -7 + -4r + 4r Combine like terms: -4r + 4r = 0 -10 + -1r = -7 + 0 -10 + -1r = -7 Add '10' to each side of the equation. -10 + 10 + -1r = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -1r = -7 + 10 -1r = -7 + 10 Combine like terms: -7 + 10 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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