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Simplifying 6(7 + -4r) + 4r = 102 (7 * 6 + -4r * 6) + 4r = 102 (42 + -24r) + 4r = 102 Combine like terms: -24r + 4r = -20r 42 + -20r = 102 Solving 42 + -20r = 102 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -20r = 102 + -42 Combine like terms: 42 + -42 = 0 0 + -20r = 102 + -42 -20r = 102 + -42 Combine like terms: 102 + -42 = 60 -20r = 60 Divide each side by '-20'. r = -3 Simplifying r = -3
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