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Simplifying -4(r + -10) = 4(-2r + -2) Reorder the terms: -4(-10 + r) = 4(-2r + -2) (-10 * -4 + r * -4) = 4(-2r + -2) (40 + -4r) = 4(-2r + -2) Reorder the terms: 40 + -4r = 4(-2 + -2r) 40 + -4r = (-2 * 4 + -2r * 4) 40 + -4r = (-8 + -8r) Solving 40 + -4r = -8 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 40 + -4r + 8r = -8 + -8r + 8r Combine like terms: -4r + 8r = 4r 40 + 4r = -8 + -8r + 8r Combine like terms: -8r + 8r = 0 40 + 4r = -8 + 0 40 + 4r = -8 Add '-40' to each side of the equation. 40 + -40 + 4r = -8 + -40 Combine like terms: 40 + -40 = 0 0 + 4r = -8 + -40 4r = -8 + -40 Combine like terms: -8 + -40 = -48 4r = -48 Divide each side by '4'. r = -12 Simplifying r = -12
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