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Simplifying 7(1 + 6r) + 7(r + -5) = 21 (1 * 7 + 6r * 7) + 7(r + -5) = 21 (7 + 42r) + 7(r + -5) = 21 Reorder the terms: 7 + 42r + 7(-5 + r) = 21 7 + 42r + (-5 * 7 + r * 7) = 21 7 + 42r + (-35 + 7r) = 21 Reorder the terms: 7 + -35 + 42r + 7r = 21 Combine like terms: 7 + -35 = -28 -28 + 42r + 7r = 21 Combine like terms: 42r + 7r = 49r -28 + 49r = 21 Solving -28 + 49r = 21 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 49r = 21 + 28 Combine like terms: -28 + 28 = 0 0 + 49r = 21 + 28 49r = 21 + 28 Combine like terms: 21 + 28 = 49 49r = 49 Divide each side by '49'. r = 1 Simplifying r = 1
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