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Simplifying 22 = -5(3 + -6r) + 7r 22 = (3 * -5 + -6r * -5) + 7r 22 = (-15 + 30r) + 7r Combine like terms: 30r + 7r = 37r 22 = -15 + 37r Solving 22 = -15 + 37r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-37r' to each side of the equation. 22 + -37r = -15 + 37r + -37r Combine like terms: 37r + -37r = 0 22 + -37r = -15 + 0 22 + -37r = -15 Add '-22' to each side of the equation. 22 + -22 + -37r = -15 + -22 Combine like terms: 22 + -22 = 0 0 + -37r = -15 + -22 -37r = -15 + -22 Combine like terms: -15 + -22 = -37 -37r = -37 Divide each side by '-37'. r = 1 Simplifying r = 1
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