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Simplifying (2r + -3) + -1(-6r + 7) = 0 Reorder the terms: (-3 + 2r) + -1(-6r + 7) = 0 Remove parenthesis around (-3 + 2r) -3 + 2r + -1(-6r + 7) = 0 Reorder the terms: -3 + 2r + -1(7 + -6r) = 0 -3 + 2r + (7 * -1 + -6r * -1) = 0 -3 + 2r + (-7 + 6r) = 0 Reorder the terms: -3 + -7 + 2r + 6r = 0 Combine like terms: -3 + -7 = -10 -10 + 2r + 6r = 0 Combine like terms: 2r + 6r = 8r -10 + 8r = 0 Solving -10 + 8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 8r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 8r = 0 + 10 8r = 0 + 10 Combine like terms: 0 + 10 = 10 8r = 10 Divide each side by '8'. r = 1.25 Simplifying r = 1.25
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