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Simplifying 22 + 6r = -4(-2r + -5) Reorder the terms: 22 + 6r = -4(-5 + -2r) 22 + 6r = (-5 * -4 + -2r * -4) 22 + 6r = (20 + 8r) Solving 22 + 6r = 20 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 22 + 6r + -8r = 20 + 8r + -8r Combine like terms: 6r + -8r = -2r 22 + -2r = 20 + 8r + -8r Combine like terms: 8r + -8r = 0 22 + -2r = 20 + 0 22 + -2r = 20 Add '-22' to each side of the equation. 22 + -22 + -2r = 20 + -22 Combine like terms: 22 + -22 = 0 0 + -2r = 20 + -22 -2r = 20 + -22 Combine like terms: 20 + -22 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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