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Simplifying -6(r + 7) = -4r + -2 Reorder the terms: -6(7 + r) = -4r + -2 (7 * -6 + r * -6) = -4r + -2 (-42 + -6r) = -4r + -2 Reorder the terms: -42 + -6r = -2 + -4r Solving -42 + -6r = -2 + -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. -42 + -6r + 4r = -2 + -4r + 4r Combine like terms: -6r + 4r = -2r -42 + -2r = -2 + -4r + 4r Combine like terms: -4r + 4r = 0 -42 + -2r = -2 + 0 -42 + -2r = -2 Add '42' to each side of the equation. -42 + 42 + -2r = -2 + 42 Combine like terms: -42 + 42 = 0 0 + -2r = -2 + 42 -2r = -2 + 42 Combine like terms: -2 + 42 = 40 -2r = 40 Divide each side by '-2'. r = -20 Simplifying r = -20
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