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Simplifying (3r + 2) + -4(6r + 8) = 0 Reorder the terms: (2 + 3r) + -4(6r + 8) = 0 Remove parenthesis around (2 + 3r) 2 + 3r + -4(6r + 8) = 0 Reorder the terms: 2 + 3r + -4(8 + 6r) = 0 2 + 3r + (8 * -4 + 6r * -4) = 0 2 + 3r + (-32 + -24r) = 0 Reorder the terms: 2 + -32 + 3r + -24r = 0 Combine like terms: 2 + -32 = -30 -30 + 3r + -24r = 0 Combine like terms: 3r + -24r = -21r -30 + -21r = 0 Solving -30 + -21r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -21r = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -21r = 0 + 30 -21r = 0 + 30 Combine like terms: 0 + 30 = 30 -21r = 30 Divide each side by '-21'. r = -1.428571429 Simplifying r = -1.428571429
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