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Simplifying 2(7r + -7) + 5r = -4(1 + -5r) + -2 Reorder the terms: 2(-7 + 7r) + 5r = -4(1 + -5r) + -2 (-7 * 2 + 7r * 2) + 5r = -4(1 + -5r) + -2 (-14 + 14r) + 5r = -4(1 + -5r) + -2 Combine like terms: 14r + 5r = 19r -14 + 19r = -4(1 + -5r) + -2 -14 + 19r = (1 * -4 + -5r * -4) + -2 -14 + 19r = (-4 + 20r) + -2 Reorder the terms: -14 + 19r = -4 + -2 + 20r Combine like terms: -4 + -2 = -6 -14 + 19r = -6 + 20r Solving -14 + 19r = -6 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. -14 + 19r + -20r = -6 + 20r + -20r Combine like terms: 19r + -20r = -1r -14 + -1r = -6 + 20r + -20r Combine like terms: 20r + -20r = 0 -14 + -1r = -6 + 0 -14 + -1r = -6 Add '14' to each side of the equation. -14 + 14 + -1r = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -1r = -6 + 14 -1r = -6 + 14 Combine like terms: -6 + 14 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8
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