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Simplifying -7 + 7(7r + -1) = 2r + -8(7r + 4) Reorder the terms: -7 + 7(-1 + 7r) = 2r + -8(7r + 4) -7 + (-1 * 7 + 7r * 7) = 2r + -8(7r + 4) -7 + (-7 + 49r) = 2r + -8(7r + 4) Combine like terms: -7 + -7 = -14 -14 + 49r = 2r + -8(7r + 4) Reorder the terms: -14 + 49r = 2r + -8(4 + 7r) -14 + 49r = 2r + (4 * -8 + 7r * -8) -14 + 49r = 2r + (-32 + -56r) Reorder the terms: -14 + 49r = -32 + 2r + -56r Combine like terms: 2r + -56r = -54r -14 + 49r = -32 + -54r Solving -14 + 49r = -32 + -54r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '54r' to each side of the equation. -14 + 49r + 54r = -32 + -54r + 54r Combine like terms: 49r + 54r = 103r -14 + 103r = -32 + -54r + 54r Combine like terms: -54r + 54r = 0 -14 + 103r = -32 + 0 -14 + 103r = -32 Add '14' to each side of the equation. -14 + 14 + 103r = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 103r = -32 + 14 103r = -32 + 14 Combine like terms: -32 + 14 = -18 103r = -18 Divide each side by '103'. r = -0.1747572816 Simplifying r = -0.1747572816
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