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Simplifying -4(3r + 2) = -6r + 34 Reorder the terms: -4(2 + 3r) = -6r + 34 (2 * -4 + 3r * -4) = -6r + 34 (-8 + -12r) = -6r + 34 Reorder the terms: -8 + -12r = 34 + -6r Solving -8 + -12r = 34 + -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. -8 + -12r + 6r = 34 + -6r + 6r Combine like terms: -12r + 6r = -6r -8 + -6r = 34 + -6r + 6r Combine like terms: -6r + 6r = 0 -8 + -6r = 34 + 0 -8 + -6r = 34 Add '8' to each side of the equation. -8 + 8 + -6r = 34 + 8 Combine like terms: -8 + 8 = 0 0 + -6r = 34 + 8 -6r = 34 + 8 Combine like terms: 34 + 8 = 42 -6r = 42 Divide each side by '-6'. r = -7 Simplifying r = -7
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