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Simplifying -6(8 + 7r) = 30 + -3r (8 * -6 + 7r * -6) = 30 + -3r (-48 + -42r) = 30 + -3r Solving -48 + -42r = 30 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -48 + -42r + 3r = 30 + -3r + 3r Combine like terms: -42r + 3r = -39r -48 + -39r = 30 + -3r + 3r Combine like terms: -3r + 3r = 0 -48 + -39r = 30 + 0 -48 + -39r = 30 Add '48' to each side of the equation. -48 + 48 + -39r = 30 + 48 Combine like terms: -48 + 48 = 0 0 + -39r = 30 + 48 -39r = 30 + 48 Combine like terms: 30 + 48 = 78 -39r = 78 Divide each side by '-39'. r = -2 Simplifying r = -2
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