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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) Solving 42 + -17r = -42 + -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. 42 + -17r + 14r = -42 + -14r + 14r Combine like terms: -17r + 14r = -3r 42 + -3r = -42 + -14r + 14r Combine like terms: -14r + 14r = 0 42 + -3r = -42 + 0 42 + -3r = -42 Add '-42' to each side of the equation. 42 + -42 + -3r = -42 + -42 Combine like terms: 42 + -42 = 0 0 + -3r = -42 + -42 -3r = -42 + -42 Combine like terms: -42 + -42 = -84 -3r = -84 Divide each side by '-3'. r = 28 Simplifying r = 28
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