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Simplifying 7[2 + -1(3 + 4) * r] + -2r = -9 + 2(1 + -15r) Combine like terms: 3 + 4 = 7 7[2 + -1(7) * r] + -2r = -9 + 2(1 + -15r) Multiply -1 * 7 7[2 + -7r] + -2r = -9 + 2(1 + -15r) [2 * 7 + -7r * 7] + -2r = -9 + 2(1 + -15r) [14 + -49r] + -2r = -9 + 2(1 + -15r) Combine like terms: -49r + -2r = -51r 14 + -51r = -9 + 2(1 + -15r) 14 + -51r = -9 + (1 * 2 + -15r * 2) 14 + -51r = -9 + (2 + -30r) Combine like terms: -9 + 2 = -7 14 + -51r = -7 + -30r Solving 14 + -51r = -7 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. 14 + -51r + 30r = -7 + -30r + 30r Combine like terms: -51r + 30r = -21r 14 + -21r = -7 + -30r + 30r Combine like terms: -30r + 30r = 0 14 + -21r = -7 + 0 14 + -21r = -7 Add '-14' to each side of the equation. 14 + -14 + -21r = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -21r = -7 + -14 -21r = -7 + -14 Combine like terms: -7 + -14 = -21 -21r = -21 Divide each side by '-21'. r = 1 Simplifying r = 1
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