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Simplifying -7(r + 1) = -6(r + 3) Reorder the terms: -7(1 + r) = -6(r + 3) (1 * -7 + r * -7) = -6(r + 3) (-7 + -7r) = -6(r + 3) Reorder the terms: -7 + -7r = -6(3 + r) -7 + -7r = (3 * -6 + r * -6) -7 + -7r = (-18 + -6r) Solving -7 + -7r = -18 + -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. -7 + -7r + 6r = -18 + -6r + 6r Combine like terms: -7r + 6r = -1r -7 + -1r = -18 + -6r + 6r Combine like terms: -6r + 6r = 0 -7 + -1r = -18 + 0 -7 + -1r = -18 Add '7' to each side of the equation. -7 + 7 + -1r = -18 + 7 Combine like terms: -7 + 7 = 0 0 + -1r = -18 + 7 -1r = -18 + 7 Combine like terms: -18 + 7 = -11 -1r = -11 Divide each side by '-1'. r = 11 Simplifying r = 11
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