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Simplifying (8r + -3) + -1(-7r + 1) = -6 Reorder the terms: (-3 + 8r) + -1(-7r + 1) = -6 Remove parenthesis around (-3 + 8r) -3 + 8r + -1(-7r + 1) = -6 Reorder the terms: -3 + 8r + -1(1 + -7r) = -6 -3 + 8r + (1 * -1 + -7r * -1) = -6 -3 + 8r + (-1 + 7r) = -6 Reorder the terms: -3 + -1 + 8r + 7r = -6 Combine like terms: -3 + -1 = -4 -4 + 8r + 7r = -6 Combine like terms: 8r + 7r = 15r -4 + 15r = -6 Solving -4 + 15r = -6 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 15r = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 15r = -6 + 4 15r = -6 + 4 Combine like terms: -6 + 4 = -2 15r = -2 Divide each side by '15'. r = -0.1333333333 Simplifying r = -0.1333333333
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