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Simplifying -7(5r + -6) = -16 + -6r Reorder the terms: -7(-6 + 5r) = -16 + -6r (-6 * -7 + 5r * -7) = -16 + -6r (42 + -35r) = -16 + -6r Solving 42 + -35r = -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. 42 + -35r + 6r = -16 + -6r + 6r Combine like terms: -35r + 6r = -29r 42 + -29r = -16 + -6r + 6r Combine like terms: -6r + 6r = 0 42 + -29r = -16 + 0 42 + -29r = -16 Add '-42' to each side of the equation. 42 + -42 + -29r = -16 + -42 Combine like terms: 42 + -42 = 0 0 + -29r = -16 + -42 -29r = -16 + -42 Combine like terms: -16 + -42 = -58 -29r = -58 Divide each side by '-29'. r = 2 Simplifying r = 2
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