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Simplifying 6r + -10 = -4(r + -5) Reorder the terms: -10 + 6r = -4(r + -5) Reorder the terms: -10 + 6r = -4(-5 + r) -10 + 6r = (-5 * -4 + r * -4) -10 + 6r = (20 + -4r) Solving -10 + 6r = 20 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -10 + 6r + 4r = 20 + -4r + 4r Combine like terms: 6r + 4r = 10r -10 + 10r = 20 + -4r + 4r Combine like terms: -4r + 4r = 0 -10 + 10r = 20 + 0 -10 + 10r = 20 Add '10' to each side of the equation. -10 + 10 + 10r = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10r = 20 + 10 10r = 20 + 10 Combine like terms: 20 + 10 = 30 10r = 30 Divide each side by '10'. r = 3 Simplifying r = 3
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