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Simplifying -22 + -3r = 5(6r + -8) Reorder the terms: -22 + -3r = 5(-8 + 6r) -22 + -3r = (-8 * 5 + 6r * 5) -22 + -3r = (-40 + 30r) Solving -22 + -3r = -40 + 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. -22 + -3r + -30r = -40 + 30r + -30r Combine like terms: -3r + -30r = -33r -22 + -33r = -40 + 30r + -30r Combine like terms: 30r + -30r = 0 -22 + -33r = -40 + 0 -22 + -33r = -40 Add '22' to each side of the equation. -22 + 22 + -33r = -40 + 22 Combine like terms: -22 + 22 = 0 0 + -33r = -40 + 22 -33r = -40 + 22 Combine like terms: -40 + 22 = -18 -33r = -18 Divide each side by '-33'. r = 0.5454545455 Simplifying r = 0.5454545455
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