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Simplifying 3(r + 4) + -1r = 2(r + a) Reorder the terms: 3(4 + r) + -1r = 2(r + a) (4 * 3 + r * 3) + -1r = 2(r + a) (12 + 3r) + -1r = 2(r + a) Combine like terms: 3r + -1r = 2r 12 + 2r = 2(r + a) Reorder the terms: 12 + 2r = 2(a + r) 12 + 2r = (a * 2 + r * 2) 12 + 2r = (2a + 2r) Add '-2r' to each side of the equation. 12 + 2r + -2r = 2a + 2r + -2r Combine like terms: 2r + -2r = 0 12 + 0 = 2a + 2r + -2r 12 = 2a + 2r + -2r Combine like terms: 2r + -2r = 0 12 = 2a + 0 12 = 2a Solving 12 = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 12 + -2a = 2a + -2a Combine like terms: 2a + -2a = 0 12 + -2a = 0 Add '-12' to each side of the equation. 12 + -12 + -2a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 0 + -12 -2a = 0 + -12 Combine like terms: 0 + -12 = -12 -2a = -12 Divide each side by '-2'. a = 6 Simplifying a = 6
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