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Simplifying 2 + -3(r + -7) + -7r = 4(r + -2) + 8 Reorder the terms: 2 + -3(-7 + r) + -7r = 4(r + -2) + 8 2 + (-7 * -3 + r * -3) + -7r = 4(r + -2) + 8 2 + (21 + -3r) + -7r = 4(r + -2) + 8 Combine like terms: 2 + 21 = 23 23 + -3r + -7r = 4(r + -2) + 8 Combine like terms: -3r + -7r = -10r 23 + -10r = 4(r + -2) + 8 Reorder the terms: 23 + -10r = 4(-2 + r) + 8 23 + -10r = (-2 * 4 + r * 4) + 8 23 + -10r = (-8 + 4r) + 8 Reorder the terms: 23 + -10r = -8 + 8 + 4r Combine like terms: -8 + 8 = 0 23 + -10r = 0 + 4r 23 + -10r = 4r Solving 23 + -10r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 23 + -10r + -4r = 4r + -4r Combine like terms: -10r + -4r = -14r 23 + -14r = 4r + -4r Combine like terms: 4r + -4r = 0 23 + -14r = 0 Add '-23' to each side of the equation. 23 + -23 + -14r = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -14r = 0 + -23 -14r = 0 + -23 Combine like terms: 0 + -23 = -23 -14r = -23 Divide each side by '-14'. r = 1.642857143 Simplifying r = 1.642857143
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