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Simplifying -413 = 7(-7r + -3) Reorder the terms: -413 = 7(-3 + -7r) -413 = (-3 * 7 + -7r * 7) -413 = (-21 + -49r) Solving -413 = -21 + -49r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '49r' to each side of the equation. -413 + 49r = -21 + -49r + 49r Combine like terms: -49r + 49r = 0 -413 + 49r = -21 + 0 -413 + 49r = -21 Add '413' to each side of the equation. -413 + 413 + 49r = -21 + 413 Combine like terms: -413 + 413 = 0 0 + 49r = -21 + 413 49r = -21 + 413 Combine like terms: -21 + 413 = 392 49r = 392 Divide each side by '49'. r = 8 Simplifying r = 8
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