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Simplifying 5(r + -2) = -16 + 6r Reorder the terms: 5(-2 + r) = -16 + 6r (-2 * 5 + r * 5) = -16 + 6r (-10 + 5r) = -16 + 6r Solving -10 + 5r = -16 + 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. -10 + 5r + -6r = -16 + 6r + -6r Combine like terms: 5r + -6r = -1r -10 + -1r = -16 + 6r + -6r Combine like terms: 6r + -6r = 0 -10 + -1r = -16 + 0 -10 + -1r = -16 Add '10' to each side of the equation. -10 + 10 + -1r = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -1r = -16 + 10 -1r = -16 + 10 Combine like terms: -16 + 10 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6
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