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Simplifying 3(r + -6) + 2 = 4(r + 2) * 21 Reorder the terms: 3(-6 + r) + 2 = 4(r + 2) * 21 (-6 * 3 + r * 3) + 2 = 4(r + 2) * 21 (-18 + 3r) + 2 = 4(r + 2) * 21 Reorder the terms: -18 + 2 + 3r = 4(r + 2) * 21 Combine like terms: -18 + 2 = -16 -16 + 3r = 4(r + 2) * 21 Reorder the terms: -16 + 3r = 4(2 + r) * 21 Reorder the terms for easier multiplication: -16 + 3r = 4 * 21(2 + r) Multiply 4 * 21 -16 + 3r = 84(2 + r) -16 + 3r = (2 * 84 + r * 84) -16 + 3r = (168 + 84r) Solving -16 + 3r = 168 + 84r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-84r' to each side of the equation. -16 + 3r + -84r = 168 + 84r + -84r Combine like terms: 3r + -84r = -81r -16 + -81r = 168 + 84r + -84r Combine like terms: 84r + -84r = 0 -16 + -81r = 168 + 0 -16 + -81r = 168 Add '16' to each side of the equation. -16 + 16 + -81r = 168 + 16 Combine like terms: -16 + 16 = 0 0 + -81r = 168 + 16 -81r = 168 + 16 Combine like terms: 168 + 16 = 184 -81r = 184 Divide each side by '-81'. r = -2.271604938 Simplifying r = -2.271604938
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