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Simplifying -3(r + 2) = -4(r + -1) Reorder the terms: -3(2 + r) = -4(r + -1) (2 * -3 + r * -3) = -4(r + -1) (-6 + -3r) = -4(r + -1) Reorder the terms: -6 + -3r = -4(-1 + r) -6 + -3r = (-1 * -4 + r * -4) -6 + -3r = (4 + -4r) Solving -6 + -3r = 4 + -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. -6 + -3r + 4r = 4 + -4r + 4r Combine like terms: -3r + 4r = 1r -6 + 1r = 4 + -4r + 4r Combine like terms: -4r + 4r = 0 -6 + 1r = 4 + 0 -6 + 1r = 4 Add '6' to each side of the equation. -6 + 6 + 1r = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 1r = 4 + 6 1r = 4 + 6 Combine like terms: 4 + 6 = 10 1r = 10 Divide each side by '1'. r = 10 Simplifying r = 10
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