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Simplifying -1(4r + 4) = 6(r + 1) Reorder the terms: -1(4 + 4r) = 6(r + 1) (4 * -1 + 4r * -1) = 6(r + 1) (-4 + -4r) = 6(r + 1) Reorder the terms: -4 + -4r = 6(1 + r) -4 + -4r = (1 * 6 + r * 6) -4 + -4r = (6 + 6r) Solving -4 + -4r = 6 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -4 + -4r + -6r = 6 + 6r + -6r Combine like terms: -4r + -6r = -10r -4 + -10r = 6 + 6r + -6r Combine like terms: 6r + -6r = 0 -4 + -10r = 6 + 0 -4 + -10r = 6 Add '4' to each side of the equation. -4 + 4 + -10r = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -10r = 6 + 4 -10r = 6 + 4 Combine like terms: 6 + 4 = 10 -10r = 10 Divide each side by '-10'. r = -1 Simplifying r = -1
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