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Simplifying r + 7 + r + -3 + 7 + (r + -3) * 2 + 7 = 74 Reorder the terms: r + 7 + r + -3 + 7 + (-3 + r) * 2 + 7 = 74 Reorder the terms for easier multiplication: r + 7 + r + -3 + 7 + 2(-3 + r) + 7 = 74 r + 7 + r + -3 + 7 + (-3 * 2 + r * 2) + 7 = 74 r + 7 + r + -3 + 7 + (-6 + 2r) + 7 = 74 Reorder the terms: 7 + -3 + 7 + -6 + 7 + r + r + 2r = 74 Combine like terms: 7 + -3 = 4 4 + 7 + -6 + 7 + r + r + 2r = 74 Combine like terms: 4 + 7 = 11 11 + -6 + 7 + r + r + 2r = 74 Combine like terms: 11 + -6 = 5 5 + 7 + r + r + 2r = 74 Combine like terms: 5 + 7 = 12 12 + r + r + 2r = 74 Combine like terms: r + r = 2r 12 + 2r + 2r = 74 Combine like terms: 2r + 2r = 4r 12 + 4r = 74 Solving 12 + 4r = 74 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4r = 74 + -12 Combine like terms: 12 + -12 = 0 0 + 4r = 74 + -12 4r = 74 + -12 Combine like terms: 74 + -12 = 62 4r = 62 Divide each side by '4'. r = 15.5 Simplifying r = 15.5
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