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Simplifying -16 + -7(2a + 3) = 23 + -2a Reorder the terms: -16 + -7(3 + 2a) = 23 + -2a -16 + (3 * -7 + 2a * -7) = 23 + -2a -16 + (-21 + -14a) = 23 + -2a Combine like terms: -16 + -21 = -37 -37 + -14a = 23 + -2a Solving -37 + -14a = 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. -37 + -14a + 2a = 23 + -2a + 2a Combine like terms: -14a + 2a = -12a -37 + -12a = 23 + -2a + 2a Combine like terms: -2a + 2a = 0 -37 + -12a = 23 + 0 -37 + -12a = 23 Add '37' to each side of the equation. -37 + 37 + -12a = 23 + 37 Combine like terms: -37 + 37 = 0 0 + -12a = 23 + 37 -12a = 23 + 37 Combine like terms: 23 + 37 = 60 -12a = 60 Divide each side by '-12'. a = -5 Simplifying a = -5
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