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Simplifying 5(r + -8) + 4 = 6(r + 2) + -22 Reorder the terms: 5(-8 + r) + 4 = 6(r + 2) + -22 (-8 * 5 + r * 5) + 4 = 6(r + 2) + -22 (-40 + 5r) + 4 = 6(r + 2) + -22 Reorder the terms: -40 + 4 + 5r = 6(r + 2) + -22 Combine like terms: -40 + 4 = -36 -36 + 5r = 6(r + 2) + -22 Reorder the terms: -36 + 5r = 6(2 + r) + -22 -36 + 5r = (2 * 6 + r * 6) + -22 -36 + 5r = (12 + 6r) + -22 Reorder the terms: -36 + 5r = 12 + -22 + 6r Combine like terms: 12 + -22 = -10 -36 + 5r = -10 + 6r Solving -36 + 5r = -10 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -36 + 5r + -6r = -10 + 6r + -6r Combine like terms: 5r + -6r = -1r -36 + -1r = -10 + 6r + -6r Combine like terms: 6r + -6r = 0 -36 + -1r = -10 + 0 -36 + -1r = -10 Add '36' to each side of the equation. -36 + 36 + -1r = -10 + 36 Combine like terms: -36 + 36 = 0 0 + -1r = -10 + 36 -1r = -10 + 36 Combine like terms: -10 + 36 = 26 -1r = 26 Divide each side by '-1'. r = -26 Simplifying r = -26
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