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Simplifying 7 + -34 = r + -4(2 + r) Combine like terms: 7 + -34 = -27 -27 = r + -4(2 + r) -27 = r + (2 * -4 + r * -4) -27 = r + (-8 + -4r) Reorder the terms: -27 = -8 + r + -4r Combine like terms: r + -4r = -3r -27 = -8 + -3r Solving -27 = -8 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -27 + 3r = -8 + -3r + 3r Combine like terms: -3r + 3r = 0 -27 + 3r = -8 + 0 -27 + 3r = -8 Add '27' to each side of the equation. -27 + 27 + 3r = -8 + 27 Combine like terms: -27 + 27 = 0 0 + 3r = -8 + 27 3r = -8 + 27 Combine like terms: -8 + 27 = 19 3r = 19 Divide each side by '3'. r = 6.333333333 Simplifying r = 6.333333333
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