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Simplifying 4(-1 + 2r) + -6 = 2r + -4 (-1 * 4 + 2r * 4) + -6 = 2r + -4 (-4 + 8r) + -6 = 2r + -4 Reorder the terms: -4 + -6 + 8r = 2r + -4 Combine like terms: -4 + -6 = -10 -10 + 8r = 2r + -4 Reorder the terms: -10 + 8r = -4 + 2r Solving -10 + 8r = -4 + 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. -10 + 8r + -2r = -4 + 2r + -2r Combine like terms: 8r + -2r = 6r -10 + 6r = -4 + 2r + -2r Combine like terms: 2r + -2r = 0 -10 + 6r = -4 + 0 -10 + 6r = -4 Add '10' to each side of the equation. -10 + 10 + 6r = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 6r = -4 + 10 6r = -4 + 10 Combine like terms: -4 + 10 = 6 6r = 6 Divide each side by '6'. r = 1 Simplifying r = 1
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