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Simplifying 6(-7 + -8r) + -6r = 18 + 6r (-7 * 6 + -8r * 6) + -6r = 18 + 6r (-42 + -48r) + -6r = 18 + 6r Combine like terms: -48r + -6r = -54r -42 + -54r = 18 + 6r Solving -42 + -54r = 18 + 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 + -54r + -6r = 18 + 6r + -6r Combine like terms: -54r + -6r = -60r -42 + -60r = 18 + 6r + -6r Combine like terms: 6r + -6r = 0 -42 + -60r = 18 + 0 -42 + -60r = 18 Add '42' to each side of the equation. -42 + 42 + -60r = 18 + 42 Combine like terms: -42 + 42 = 0 0 + -60r = 18 + 42 -60r = 18 + 42 Combine like terms: 18 + 42 = 60 -60r = 60 Divide each side by '-60'. r = -1 Simplifying r = -1
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