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Simplifying 33 + 3r = 7(4r + 8) Reorder the terms: 33 + 3r = 7(8 + 4r) 33 + 3r = (8 * 7 + 4r * 7) 33 + 3r = (56 + 28r) Solving 33 + 3r = 56 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. 33 + 3r + -28r = 56 + 28r + -28r Combine like terms: 3r + -28r = -25r 33 + -25r = 56 + 28r + -28r Combine like terms: 28r + -28r = 0 33 + -25r = 56 + 0 33 + -25r = 56 Add '-33' to each side of the equation. 33 + -33 + -25r = 56 + -33 Combine like terms: 33 + -33 = 0 0 + -25r = 56 + -33 -25r = 56 + -33 Combine like terms: 56 + -33 = 23 -25r = 23 Divide each side by '-25'. r = -0.92 Simplifying r = -0.92
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