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Simplifying 4(5r + -3) = 3(-7 + 5r) + -4r Reorder the terms: 4(-3 + 5r) = 3(-7 + 5r) + -4r (-3 * 4 + 5r * 4) = 3(-7 + 5r) + -4r (-12 + 20r) = 3(-7 + 5r) + -4r -12 + 20r = (-7 * 3 + 5r * 3) + -4r -12 + 20r = (-21 + 15r) + -4r Combine like terms: 15r + -4r = 11r -12 + 20r = -21 + 11r Solving -12 + 20r = -21 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. -12 + 20r + -11r = -21 + 11r + -11r Combine like terms: 20r + -11r = 9r -12 + 9r = -21 + 11r + -11r Combine like terms: 11r + -11r = 0 -12 + 9r = -21 + 0 -12 + 9r = -21 Add '12' to each side of the equation. -12 + 12 + 9r = -21 + 12 Combine like terms: -12 + 12 = 0 0 + 9r = -21 + 12 9r = -21 + 12 Combine like terms: -21 + 12 = -9 9r = -9 Divide each side by '9'. r = -1 Simplifying r = -1
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