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