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Simplifying 22 = -6(7r + 4) + -4(7 + 8r) Reorder the terms: 22 = -6(4 + 7r) + -4(7 + 8r) 22 = (4 * -6 + 7r * -6) + -4(7 + 8r) 22 = (-24 + -42r) + -4(7 + 8r) 22 = -24 + -42r + (7 * -4 + 8r * -4) 22 = -24 + -42r + (-28 + -32r) Reorder the terms: 22 = -24 + -28 + -42r + -32r Combine like terms: -24 + -28 = -52 22 = -52 + -42r + -32r Combine like terms: -42r + -32r = -74r 22 = -52 + -74r Solving 22 = -52 + -74r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '74r' to each side of the equation. 22 + 74r = -52 + -74r + 74r Combine like terms: -74r + 74r = 0 22 + 74r = -52 + 0 22 + 74r = -52 Add '-22' to each side of the equation. 22 + -22 + 74r = -52 + -22 Combine like terms: 22 + -22 = 0 0 + 74r = -52 + -22 74r = -52 + -22 Combine like terms: -52 + -22 = -74 74r = -74 Divide each side by '74'. r = -1 Simplifying r = -1
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