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Simplifying 4 + 2r = 7[6r + -6] + 6 Reorder the terms: 4 + 2r = 7[-6 + 6r] + 6 4 + 2r = [-6 * 7 + 6r * 7] + 6 4 + 2r = [-42 + 42r] + 6 Reorder the terms: 4 + 2r = -42 + 6 + 42r Combine like terms: -42 + 6 = -36 4 + 2r = -36 + 42r Solving 4 + 2r = -36 + 42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42r' to each side of the equation. 4 + 2r + -42r = -36 + 42r + -42r Combine like terms: 2r + -42r = -40r 4 + -40r = -36 + 42r + -42r Combine like terms: 42r + -42r = 0 4 + -40r = -36 + 0 4 + -40r = -36 Add '-4' to each side of the equation. 4 + -4 + -40r = -36 + -4 Combine like terms: 4 + -4 = 0 0 + -40r = -36 + -4 -40r = -36 + -4 Combine like terms: -36 + -4 = -40 -40r = -40 Divide each side by '-40'. r = 1 Simplifying r = 1
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