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Simplifying -14 + 2r = 2r + 4(r + -2) Reorder the terms: -14 + 2r = 2r + 4(-2 + r) -14 + 2r = 2r + (-2 * 4 + r * 4) -14 + 2r = 2r + (-8 + 4r) Reorder the terms: -14 + 2r = -8 + 2r + 4r Combine like terms: 2r + 4r = 6r -14 + 2r = -8 + 6r Solving -14 + 2r = -8 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -14 + 2r + -6r = -8 + 6r + -6r Combine like terms: 2r + -6r = -4r -14 + -4r = -8 + 6r + -6r Combine like terms: 6r + -6r = 0 -14 + -4r = -8 + 0 -14 + -4r = -8 Add '14' to each side of the equation. -14 + 14 + -4r = -8 + 14 Combine like terms: -14 + 14 = 0 0 + -4r = -8 + 14 -4r = -8 + 14 Combine like terms: -8 + 14 = 6 -4r = 6 Divide each side by '-4'. r = -1.5 Simplifying r = -1.5
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