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Simplifying 6r + -3 = -2(r + 1) Reorder the terms: -3 + 6r = -2(r + 1) Reorder the terms: -3 + 6r = -2(1 + r) -3 + 6r = (1 * -2 + r * -2) -3 + 6r = (-2 + -2r) Solving -3 + 6r = -2 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -3 + 6r + 2r = -2 + -2r + 2r Combine like terms: 6r + 2r = 8r -3 + 8r = -2 + -2r + 2r Combine like terms: -2r + 2r = 0 -3 + 8r = -2 + 0 -3 + 8r = -2 Add '3' to each side of the equation. -3 + 3 + 8r = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 8r = -2 + 3 8r = -2 + 3 Combine like terms: -2 + 3 = 1 8r = 1 Divide each side by '8'. r = 0.125 Simplifying r = 0.125
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