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Simplifying 18 + -6a = 41 + -4(a + 3) Reorder the terms: 18 + -6a = 41 + -4(3 + a) 18 + -6a = 41 + (3 * -4 + a * -4) 18 + -6a = 41 + (-12 + -4a) Combine like terms: 41 + -12 = 29 18 + -6a = 29 + -4a Solving 18 + -6a = 29 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 18 + -6a + 4a = 29 + -4a + 4a Combine like terms: -6a + 4a = -2a 18 + -2a = 29 + -4a + 4a Combine like terms: -4a + 4a = 0 18 + -2a = 29 + 0 18 + -2a = 29 Add '-18' to each side of the equation. 18 + -18 + -2a = 29 + -18 Combine like terms: 18 + -18 = 0 0 + -2a = 29 + -18 -2a = 29 + -18 Combine like terms: 29 + -18 = 11 -2a = 11 Divide each side by '-2'. a = -5.5 Simplifying a = -5.5
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