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Simplifying -7(4 + -1r) + 7 = 3(1 + 5r) (4 * -7 + -1r * -7) + 7 = 3(1 + 5r) (-28 + 7r) + 7 = 3(1 + 5r) Reorder the terms: -28 + 7 + 7r = 3(1 + 5r) Combine like terms: -28 + 7 = -21 -21 + 7r = 3(1 + 5r) -21 + 7r = (1 * 3 + 5r * 3) -21 + 7r = (3 + 15r) Solving -21 + 7r = 3 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -21 + 7r + -15r = 3 + 15r + -15r Combine like terms: 7r + -15r = -8r -21 + -8r = 3 + 15r + -15r Combine like terms: 15r + -15r = 0 -21 + -8r = 3 + 0 -21 + -8r = 3 Add '21' to each side of the equation. -21 + 21 + -8r = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -8r = 3 + 21 -8r = 3 + 21 Combine like terms: 3 + 21 = 24 -8r = 24 Divide each side by '-8'. r = -3 Simplifying r = -3
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