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Simplifying -4(1 + 6r) = 2r + 22 (1 * -4 + 6r * -4) = 2r + 22 (-4 + -24r) = 2r + 22 Reorder the terms: -4 + -24r = 22 + 2r Solving -4 + -24r = 22 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -4 + -24r + -2r = 22 + 2r + -2r Combine like terms: -24r + -2r = -26r -4 + -26r = 22 + 2r + -2r Combine like terms: 2r + -2r = 0 -4 + -26r = 22 + 0 -4 + -26r = 22 Add '4' to each side of the equation. -4 + 4 + -26r = 22 + 4 Combine like terms: -4 + 4 = 0 0 + -26r = 22 + 4 -26r = 22 + 4 Combine like terms: 22 + 4 = 26 -26r = 26 Divide each side by '-26'. r = -1 Simplifying r = -1
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