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Simplifying 22 = 6 + 7(r + -3) Reorder the terms: 22 = 6 + 7(-3 + r) 22 = 6 + (-3 * 7 + r * 7) 22 = 6 + (-21 + 7r) Combine like terms: 6 + -21 = -15 22 = -15 + 7r Solving 22 = -15 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 22 + -7r = -15 + 7r + -7r Combine like terms: 7r + -7r = 0 22 + -7r = -15 + 0 22 + -7r = -15 Add '-22' to each side of the equation. 22 + -22 + -7r = -15 + -22 Combine like terms: 22 + -22 = 0 0 + -7r = -15 + -22 -7r = -15 + -22 Combine like terms: -15 + -22 = -37 -7r = -37 Divide each side by '-7'. r = 5.285714286 Simplifying r = 5.285714286
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