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Simplifying -3(14 + 5r) + -2r = -14(r + 3) (14 * -3 + 5r * -3) + -2r = -14(r + 3) (-42 + -15r) + -2r = -14(r + 3) Combine like terms: -15r + -2r = -17r -42 + -17r = -14(r + 3) Reorder the terms: -42 + -17r = -14(3 + r) -42 + -17r = (3 * -14 + r * -14) -42 + -17r = (-42 + -14r) Add '42' to each side of the equation. -42 + 42 + -17r = -42 + 42 + -14r Combine like terms: -42 + 42 = 0 0 + -17r = -42 + 42 + -14r -17r = -42 + 42 + -14r Combine like terms: -42 + 42 = 0 -17r = 0 + -14r -17r = -14r Solving -17r = -14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14r' to each side of the equation. -17r + 14r = -14r + 14r Combine like terms: -17r + 14r = -3r -3r = -14r + 14r Combine like terms: -14r + 14r = 0 -3r = 0 Divide each side by '-3'. r = 0 Simplifying r = 0
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