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Simplifying -3(14 + 5r) + -2 = -14(r + 3) (14 * -3 + 5r * -3) + -2 = -14(r + 3) (-42 + -15r) + -2 = -14(r + 3) Reorder the terms: -42 + -2 + -15r = -14(r + 3) Combine like terms: -42 + -2 = -44 -44 + -15r = -14(r + 3) Reorder the terms: -44 + -15r = -14(3 + r) -44 + -15r = (3 * -14 + r * -14) -44 + -15r = (-42 + -14r) Solving -44 + -15r = -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. -44 + -15r + 14r = -42 + -14r + 14r Combine like terms: -15r + 14r = -1r -44 + -1r = -42 + -14r + 14r Combine like terms: -14r + 14r = 0 -44 + -1r = -42 + 0 -44 + -1r = -42 Add '44' to each side of the equation. -44 + 44 + -1r = -42 + 44 Combine like terms: -44 + 44 = 0 0 + -1r = -42 + 44 -1r = -42 + 44 Combine like terms: -42 + 44 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2
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