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Simplifying 5(r + -4) + -1 = -7r + 3 Reorder the terms: 5(-4 + r) + -1 = -7r + 3 (-4 * 5 + r * 5) + -1 = -7r + 3 (-20 + 5r) + -1 = -7r + 3 Reorder the terms: -20 + -1 + 5r = -7r + 3 Combine like terms: -20 + -1 = -21 -21 + 5r = -7r + 3 Reorder the terms: -21 + 5r = 3 + -7r Solving -21 + 5r = 3 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -21 + 5r + 7r = 3 + -7r + 7r Combine like terms: 5r + 7r = 12r -21 + 12r = 3 + -7r + 7r Combine like terms: -7r + 7r = 0 -21 + 12r = 3 + 0 -21 + 12r = 3 Add '21' to each side of the equation. -21 + 21 + 12r = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 12r = 3 + 21 12r = 3 + 21 Combine like terms: 3 + 21 = 24 12r = 24 Divide each side by '12'. r = 2 Simplifying r = 2
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