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Simplifying 5 + 2(7r) + -2r + 16 + -3(7r) = 2r + 4(r + -6) Remove parenthesis around (7r) 5 + 2 * 7r + -2r + 16 + -3(7r) = 2r + 4(r + -6) Multiply 2 * 7 5 + 14r + -2r + 16 + -3(7r) = 2r + 4(r + -6) Remove parenthesis around (7r) 5 + 14r + -2r + 16 + -3 * 7r = 2r + 4(r + -6) Multiply -3 * 7 5 + 14r + -2r + 16 + -21r = 2r + 4(r + -6) Reorder the terms: 5 + 16 + 14r + -2r + -21r = 2r + 4(r + -6) Combine like terms: 5 + 16 = 21 21 + 14r + -2r + -21r = 2r + 4(r + -6) Combine like terms: 14r + -2r = 12r 21 + 12r + -21r = 2r + 4(r + -6) Combine like terms: 12r + -21r = -9r 21 + -9r = 2r + 4(r + -6) Reorder the terms: 21 + -9r = 2r + 4(-6 + r) 21 + -9r = 2r + (-6 * 4 + r * 4) 21 + -9r = 2r + (-24 + 4r) Reorder the terms: 21 + -9r = -24 + 2r + 4r Combine like terms: 2r + 4r = 6r 21 + -9r = -24 + 6r Solving 21 + -9r = -24 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 21 + -9r + -6r = -24 + 6r + -6r Combine like terms: -9r + -6r = -15r 21 + -15r = -24 + 6r + -6r Combine like terms: 6r + -6r = 0 21 + -15r = -24 + 0 21 + -15r = -24 Add '-21' to each side of the equation. 21 + -21 + -15r = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -15r = -24 + -21 -15r = -24 + -21 Combine like terms: -24 + -21 = -45 -15r = -45 Divide each side by '-15'. r = 3 Simplifying r = 3
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