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Simplifying -1x + -14(2 + r) = 4x + -10 -1x + (2 * -14 + r * -14) = 4x + -10 -1x + (-28 + -14r) = 4x + -10 Reorder the terms: -28 + -14r + -1x = 4x + -10 Reorder the terms: -28 + -14r + -1x = -10 + 4x Solving -28 + -14r + -1x = -10 + 4x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -14r + 28 + -1x = -10 + 28 + 4x Reorder the terms: -28 + 28 + -14r + -1x = -10 + 28 + 4x Combine like terms: -28 + 28 = 0 0 + -14r + -1x = -10 + 28 + 4x -14r + -1x = -10 + 28 + 4x Combine like terms: -10 + 28 = 18 -14r + -1x = 18 + 4x Add 'x' to each side of the equation. -14r + -1x + x = 18 + 4x + x Combine like terms: -1x + x = 0 -14r + 0 = 18 + 4x + x -14r = 18 + 4x + x Combine like terms: 4x + x = 5x -14r = 18 + 5x Divide each side by '-14'. r = -1.285714286 + -0.3571428571x Simplifying r = -1.285714286 + -0.3571428571x
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