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Simplifying 6 + -2r + 1 = 3r + -59(r + -2) Reorder the terms: 6 + 1 + -2r = 3r + -59(r + -2) Combine like terms: 6 + 1 = 7 7 + -2r = 3r + -59(r + -2) Reorder the terms: 7 + -2r = 3r + -59(-2 + r) 7 + -2r = 3r + (-2 * -59 + r * -59) 7 + -2r = 3r + (118 + -59r) Reorder the terms: 7 + -2r = 118 + 3r + -59r Combine like terms: 3r + -59r = -56r 7 + -2r = 118 + -56r Solving 7 + -2r = 118 + -56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '56r' to each side of the equation. 7 + -2r + 56r = 118 + -56r + 56r Combine like terms: -2r + 56r = 54r 7 + 54r = 118 + -56r + 56r Combine like terms: -56r + 56r = 0 7 + 54r = 118 + 0 7 + 54r = 118 Add '-7' to each side of the equation. 7 + -7 + 54r = 118 + -7 Combine like terms: 7 + -7 = 0 0 + 54r = 118 + -7 54r = 118 + -7 Combine like terms: 118 + -7 = 111 54r = 111 Divide each side by '54'. r = 2.055555556 Simplifying r = 2.055555556
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