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Simplifying -204 = 3r + -7(-6r + -3) Reorder the terms: -204 = 3r + -7(-3 + -6r) -204 = 3r + (-3 * -7 + -6r * -7) -204 = 3r + (21 + 42r) Reorder the terms: -204 = 21 + 3r + 42r Combine like terms: 3r + 42r = 45r -204 = 21 + 45r Solving -204 = 21 + 45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-45r' to each side of the equation. -204 + -45r = 21 + 45r + -45r Combine like terms: 45r + -45r = 0 -204 + -45r = 21 + 0 -204 + -45r = 21 Add '204' to each side of the equation. -204 + 204 + -45r = 21 + 204 Combine like terms: -204 + 204 = 0 0 + -45r = 21 + 204 -45r = 21 + 204 Combine like terms: 21 + 204 = 225 -45r = 225 Divide each side by '-45'. r = -5 Simplifying r = -5
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