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Simplifying 40 + 3r = -7r + 4(8r + -1) Reorder the terms: 40 + 3r = -7r + 4(-1 + 8r) 40 + 3r = -7r + (-1 * 4 + 8r * 4) 40 + 3r = -7r + (-4 + 32r) Reorder the terms: 40 + 3r = -4 + -7r + 32r Combine like terms: -7r + 32r = 25r 40 + 3r = -4 + 25r Solving 40 + 3r = -4 + 25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25r' to each side of the equation. 40 + 3r + -25r = -4 + 25r + -25r Combine like terms: 3r + -25r = -22r 40 + -22r = -4 + 25r + -25r Combine like terms: 25r + -25r = 0 40 + -22r = -4 + 0 40 + -22r = -4 Add '-40' to each side of the equation. 40 + -40 + -22r = -4 + -40 Combine like terms: 40 + -40 = 0 0 + -22r = -4 + -40 -22r = -4 + -40 Combine like terms: -4 + -40 = -44 -22r = -44 Divide each side by '-22'. r = 2 Simplifying r = 2
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