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Simplifying -4(r + 1) = -1r + 14 Reorder the terms: -4(1 + r) = -1r + 14 (1 * -4 + r * -4) = -1r + 14 (-4 + -4r) = -1r + 14 Reorder the terms: -4 + -4r = 14 + -1r Solving -4 + -4r = 14 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -4 + -4r + r = 14 + -1r + r Combine like terms: -4r + r = -3r -4 + -3r = 14 + -1r + r Combine like terms: -1r + r = 0 -4 + -3r = 14 + 0 -4 + -3r = 14 Add '4' to each side of the equation. -4 + 4 + -3r = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -3r = 14 + 4 -3r = 14 + 4 Combine like terms: 14 + 4 = 18 -3r = 18 Divide each side by '-3'. r = -6 Simplifying r = -6
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