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Simplifying 9(7 + r) = -3(1 + -2r) (7 * 9 + r * 9) = -3(1 + -2r) (63 + 9r) = -3(1 + -2r) 63 + 9r = (1 * -3 + -2r * -3) 63 + 9r = (-3 + 6r) Solving 63 + 9r = -3 + 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. 63 + 9r + -6r = -3 + 6r + -6r Combine like terms: 9r + -6r = 3r 63 + 3r = -3 + 6r + -6r Combine like terms: 6r + -6r = 0 63 + 3r = -3 + 0 63 + 3r = -3 Add '-63' to each side of the equation. 63 + -63 + 3r = -3 + -63 Combine like terms: 63 + -63 = 0 0 + 3r = -3 + -63 3r = -3 + -63 Combine like terms: -3 + -63 = -66 3r = -66 Divide each side by '3'. r = -22 Simplifying r = -22
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