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Simplifying 3(2r + 4) + -4(r + -7) = 0 Reorder the terms: 3(4 + 2r) + -4(r + -7) = 0 (4 * 3 + 2r * 3) + -4(r + -7) = 0 (12 + 6r) + -4(r + -7) = 0 Reorder the terms: 12 + 6r + -4(-7 + r) = 0 12 + 6r + (-7 * -4 + r * -4) = 0 12 + 6r + (28 + -4r) = 0 Reorder the terms: 12 + 28 + 6r + -4r = 0 Combine like terms: 12 + 28 = 40 40 + 6r + -4r = 0 Combine like terms: 6r + -4r = 2r 40 + 2r = 0 Solving 40 + 2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 2r = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 2r = 0 + -40 2r = 0 + -40 Combine like terms: 0 + -40 = -40 2r = -40 Divide each side by '2'. r = -20 Simplifying r = -20
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