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Simplifying 2(3r + 4) + -4(2r + 5) + -10r = 0 Reorder the terms: 2(4 + 3r) + -4(2r + 5) + -10r = 0 (4 * 2 + 3r * 2) + -4(2r + 5) + -10r = 0 (8 + 6r) + -4(2r + 5) + -10r = 0 Reorder the terms: 8 + 6r + -4(5 + 2r) + -10r = 0 8 + 6r + (5 * -4 + 2r * -4) + -10r = 0 8 + 6r + (-20 + -8r) + -10r = 0 Reorder the terms: 8 + -20 + 6r + -8r + -10r = 0 Combine like terms: 8 + -20 = -12 -12 + 6r + -8r + -10r = 0 Combine like terms: 6r + -8r = -2r -12 + -2r + -10r = 0 Combine like terms: -2r + -10r = -12r -12 + -12r = 0 Solving -12 + -12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -12r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -12r = 0 + 12 -12r = 0 + 12 Combine like terms: 0 + 12 = 12 -12r = 12 Divide each side by '-12'. r = -1 Simplifying r = -1
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