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Simplifying 7 + -3r = r + -4(2 + n) 7 + -3r = r + (2 * -4 + n * -4) 7 + -3r = r + (-8 + -4n) Reorder the terms: 7 + -3r = -8 + -4n + r Solving 7 + -3r = -8 + -4n + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 7 + -3r + -1r = -8 + -4n + r + -1r Combine like terms: -3r + -1r = -4r 7 + -4r = -8 + -4n + r + -1r Combine like terms: r + -1r = 0 7 + -4r = -8 + -4n + 0 7 + -4r = -8 + -4n Add '-7' to each side of the equation. 7 + -7 + -4r = -8 + -7 + -4n Combine like terms: 7 + -7 = 0 0 + -4r = -8 + -7 + -4n -4r = -8 + -7 + -4n Combine like terms: -8 + -7 = -15 -4r = -15 + -4n Divide each side by '-4'. r = 3.75 + n Simplifying r = 3.75 + n
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