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Simplifying 2(-7r + 1) + -3 = -2 + 6r Reorder the terms: 2(1 + -7r) + -3 = -2 + 6r (1 * 2 + -7r * 2) + -3 = -2 + 6r (2 + -14r) + -3 = -2 + 6r Reorder the terms: 2 + -3 + -14r = -2 + 6r Combine like terms: 2 + -3 = -1 -1 + -14r = -2 + 6r Solving -1 + -14r = -2 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -1 + -14r + -6r = -2 + 6r + -6r Combine like terms: -14r + -6r = -20r -1 + -20r = -2 + 6r + -6r Combine like terms: 6r + -6r = 0 -1 + -20r = -2 + 0 -1 + -20r = -2 Add '1' to each side of the equation. -1 + 1 + -20r = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -20r = -2 + 1 -20r = -2 + 1 Combine like terms: -2 + 1 = -1 -20r = -1 Divide each side by '-20'. r = 0.05 Simplifying r = 0.05
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