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Simplifying 40 + 3r = r + 7(8r + -2) Reorder the terms: 40 + 3r = r + 7(-2 + 8r) 40 + 3r = r + (-2 * 7 + 8r * 7) 40 + 3r = r + (-14 + 56r) Reorder the terms: 40 + 3r = -14 + r + 56r Combine like terms: r + 56r = 57r 40 + 3r = -14 + 57r Solving 40 + 3r = -14 + 57r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-57r' to each side of the equation. 40 + 3r + -57r = -14 + 57r + -57r Combine like terms: 3r + -57r = -54r 40 + -54r = -14 + 57r + -57r Combine like terms: 57r + -57r = 0 40 + -54r = -14 + 0 40 + -54r = -14 Add '-40' to each side of the equation. 40 + -40 + -54r = -14 + -40 Combine like terms: 40 + -40 = 0 0 + -54r = -14 + -40 -54r = -14 + -40 Combine like terms: -14 + -40 = -54 -54r = -54 Divide each side by '-54'. r = 1 Simplifying r = 1
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