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Simplifying -2(8r + 7) + 2(3r + 4) = 0 Reorder the terms: -2(7 + 8r) + 2(3r + 4) = 0 (7 * -2 + 8r * -2) + 2(3r + 4) = 0 (-14 + -16r) + 2(3r + 4) = 0 Reorder the terms: -14 + -16r + 2(4 + 3r) = 0 -14 + -16r + (4 * 2 + 3r * 2) = 0 -14 + -16r + (8 + 6r) = 0 Reorder the terms: -14 + 8 + -16r + 6r = 0 Combine like terms: -14 + 8 = -6 -6 + -16r + 6r = 0 Combine like terms: -16r + 6r = -10r -6 + -10r = 0 Solving -6 + -10r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -10r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -10r = 0 + 6 -10r = 0 + 6 Combine like terms: 0 + 6 = 6 -10r = 6 Divide each side by '-10'. r = -0.6 Simplifying r = -0.6
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