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Simplifying 19 = 2 + 8(r + -5) Reorder the terms: 19 = 2 + 8(-5 + r) 19 = 2 + (-5 * 8 + r * 8) 19 = 2 + (-40 + 8r) Combine like terms: 2 + -40 = -38 19 = -38 + 8r Solving 19 = -38 + 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. 19 + -8r = -38 + 8r + -8r Combine like terms: 8r + -8r = 0 19 + -8r = -38 + 0 19 + -8r = -38 Add '-19' to each side of the equation. 19 + -19 + -8r = -38 + -19 Combine like terms: 19 + -19 = 0 0 + -8r = -38 + -19 -8r = -38 + -19 Combine like terms: -38 + -19 = -57 -8r = -57 Divide each side by '-8'. r = 7.125 Simplifying r = 7.125
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