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Simplifying 8r + 4(r + -7) = -2(3r + 10) Reorder the terms: 8r + 4(-7 + r) = -2(3r + 10) 8r + (-7 * 4 + r * 4) = -2(3r + 10) 8r + (-28 + 4r) = -2(3r + 10) Reorder the terms: -28 + 8r + 4r = -2(3r + 10) Combine like terms: 8r + 4r = 12r -28 + 12r = -2(3r + 10) Reorder the terms: -28 + 12r = -2(10 + 3r) -28 + 12r = (10 * -2 + 3r * -2) -28 + 12r = (-20 + -6r) Solving -28 + 12r = -20 + -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. -28 + 12r + 6r = -20 + -6r + 6r Combine like terms: 12r + 6r = 18r -28 + 18r = -20 + -6r + 6r Combine like terms: -6r + 6r = 0 -28 + 18r = -20 + 0 -28 + 18r = -20 Add '28' to each side of the equation. -28 + 28 + 18r = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 18r = -20 + 28 18r = -20 + 28 Combine like terms: -20 + 28 = 8 18r = 8 Divide each side by '18'. r = 0.4444444444 Simplifying r = 0.4444444444
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