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Simplifying 29 + -6r = 7(1 + -6r) 29 + -6r = (1 * 7 + -6r * 7) 29 + -6r = (7 + -42r) Solving 29 + -6r = 7 + -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. 29 + -6r + 42r = 7 + -42r + 42r Combine like terms: -6r + 42r = 36r 29 + 36r = 7 + -42r + 42r Combine like terms: -42r + 42r = 0 29 + 36r = 7 + 0 29 + 36r = 7 Add '-29' to each side of the equation. 29 + -29 + 36r = 7 + -29 Combine like terms: 29 + -29 = 0 0 + 36r = 7 + -29 36r = 7 + -29 Combine like terms: 7 + -29 = -22 36r = -22 Divide each side by '36'. r = -0.6111111111 Simplifying r = -0.6111111111
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