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Simplifying -7(1 + r) = -4(r + 7) (1 * -7 + r * -7) = -4(r + 7) (-7 + -7r) = -4(r + 7) Reorder the terms: -7 + -7r = -4(7 + r) -7 + -7r = (7 * -4 + r * -4) -7 + -7r = (-28 + -4r) Solving -7 + -7r = -28 + -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. -7 + -7r + 4r = -28 + -4r + 4r Combine like terms: -7r + 4r = -3r -7 + -3r = -28 + -4r + 4r Combine like terms: -4r + 4r = 0 -7 + -3r = -28 + 0 -7 + -3r = -28 Add '7' to each side of the equation. -7 + 7 + -3r = -28 + 7 Combine like terms: -7 + 7 = 0 0 + -3r = -28 + 7 -3r = -28 + 7 Combine like terms: -28 + 7 = -21 -3r = -21 Divide each side by '-3'. r = 7 Simplifying r = 7
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