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Simplifying 19x + -3(a + -6) = 66 Reorder the terms: 19x + -3(-6 + a) = 66 19x + (-6 * -3 + a * -3) = 66 19x + (18 + -3a) = 66 Reorder the terms: 18 + -3a + 19x = 66 Solving 18 + -3a + 19x = 66 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -3a + -18 + 19x = 66 + -18 Reorder the terms: 18 + -18 + -3a + 19x = 66 + -18 Combine like terms: 18 + -18 = 0 0 + -3a + 19x = 66 + -18 -3a + 19x = 66 + -18 Combine like terms: 66 + -18 = 48 -3a + 19x = 48 Add '-19x' to each side of the equation. -3a + 19x + -19x = 48 + -19x Combine like terms: 19x + -19x = 0 -3a + 0 = 48 + -19x -3a = 48 + -19x Divide each side by '-3'. a = -16 + 6.333333333x Simplifying a = -16 + 6.333333333x
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