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Simplifying 7 + 3r = -6r + 7(1 + 8r) 7 + 3r = -6r + (1 * 7 + 8r * 7) 7 + 3r = -6r + (7 + 56r) Reorder the terms: 7 + 3r = 7 + -6r + 56r Combine like terms: -6r + 56r = 50r 7 + 3r = 7 + 50r Add '-7' to each side of the equation. 7 + -7 + 3r = 7 + -7 + 50r Combine like terms: 7 + -7 = 0 0 + 3r = 7 + -7 + 50r 3r = 7 + -7 + 50r Combine like terms: 7 + -7 = 0 3r = 0 + 50r 3r = 50r Solving 3r = 50r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-50r' to each side of the equation. 3r + -50r = 50r + -50r Combine like terms: 3r + -50r = -47r -47r = 50r + -50r Combine like terms: 50r + -50r = 0 -47r = 0 Divide each side by '-47'. r = 0 Simplifying r = 0
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