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Simplifying -8(5 + -7r) + -2 = 22 + -8r (5 * -8 + -7r * -8) + -2 = 22 + -8r (-40 + 56r) + -2 = 22 + -8r Reorder the terms: -40 + -2 + 56r = 22 + -8r Combine like terms: -40 + -2 = -42 -42 + 56r = 22 + -8r Solving -42 + 56r = 22 + -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. -42 + 56r + 8r = 22 + -8r + 8r Combine like terms: 56r + 8r = 64r -42 + 64r = 22 + -8r + 8r Combine like terms: -8r + 8r = 0 -42 + 64r = 22 + 0 -42 + 64r = 22 Add '42' to each side of the equation. -42 + 42 + 64r = 22 + 42 Combine like terms: -42 + 42 = 0 0 + 64r = 22 + 42 64r = 22 + 42 Combine like terms: 22 + 42 = 64 64r = 64 Divide each side by '64'. r = 1 Simplifying r = 1
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