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Simplifying -16 + -8(2a + 3) = 23 + -2a Reorder the terms: -16 + -8(3 + 2a) = 23 + -2a -16 + (3 * -8 + 2a * -8) = 23 + -2a -16 + (-24 + -16a) = 23 + -2a Combine like terms: -16 + -24 = -40 -40 + -16a = 23 + -2a Solving -40 + -16a = 23 + -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. -40 + -16a + 2a = 23 + -2a + 2a Combine like terms: -16a + 2a = -14a -40 + -14a = 23 + -2a + 2a Combine like terms: -2a + 2a = 0 -40 + -14a = 23 + 0 -40 + -14a = 23 Add '40' to each side of the equation. -40 + 40 + -14a = 23 + 40 Combine like terms: -40 + 40 = 0 0 + -14a = 23 + 40 -14a = 23 + 40 Combine like terms: 23 + 40 = 63 -14a = 63 Divide each side by '-14'. a = -4.5 Simplifying a = -4.5
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