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Simplifying -40 + 8a = 4(4a + -3) + 6a Reorder the terms: -40 + 8a = 4(-3 + 4a) + 6a -40 + 8a = (-3 * 4 + 4a * 4) + 6a -40 + 8a = (-12 + 16a) + 6a Combine like terms: 16a + 6a = 22a -40 + 8a = -12 + 22a Solving -40 + 8a = -12 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. -40 + 8a + -22a = -12 + 22a + -22a Combine like terms: 8a + -22a = -14a -40 + -14a = -12 + 22a + -22a Combine like terms: 22a + -22a = 0 -40 + -14a = -12 + 0 -40 + -14a = -12 Add '40' to each side of the equation. -40 + 40 + -14a = -12 + 40 Combine like terms: -40 + 40 = 0 0 + -14a = -12 + 40 -14a = -12 + 40 Combine like terms: -12 + 40 = 28 -14a = 28 Divide each side by '-14'. a = -2 Simplifying a = -2
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