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Simplifying 2(-7r + -5) + 3r = 4r + -40 Reorder the terms: 2(-5 + -7r) + 3r = 4r + -40 (-5 * 2 + -7r * 2) + 3r = 4r + -40 (-10 + -14r) + 3r = 4r + -40 Combine like terms: -14r + 3r = -11r -10 + -11r = 4r + -40 Reorder the terms: -10 + -11r = -40 + 4r Solving -10 + -11r = -40 + 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 + -11r + -4r = -40 + 4r + -4r Combine like terms: -11r + -4r = -15r -10 + -15r = -40 + 4r + -4r Combine like terms: 4r + -4r = 0 -10 + -15r = -40 + 0 -10 + -15r = -40 Add '10' to each side of the equation. -10 + 10 + -15r = -40 + 10 Combine like terms: -10 + 10 = 0 0 + -15r = -40 + 10 -15r = -40 + 10 Combine like terms: -40 + 10 = -30 -15r = -30 Divide each side by '-15'. r = 2 Simplifying r = 2
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