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Simplifying -37 + -7a = -4(4a + -2) Reorder the terms: -37 + -7a = -4(-2 + 4a) -37 + -7a = (-2 * -4 + 4a * -4) -37 + -7a = (8 + -16a) Solving -37 + -7a = 8 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. -37 + -7a + 16a = 8 + -16a + 16a Combine like terms: -7a + 16a = 9a -37 + 9a = 8 + -16a + 16a Combine like terms: -16a + 16a = 0 -37 + 9a = 8 + 0 -37 + 9a = 8 Add '37' to each side of the equation. -37 + 37 + 9a = 8 + 37 Combine like terms: -37 + 37 = 0 0 + 9a = 8 + 37 9a = 8 + 37 Combine like terms: 8 + 37 = 45 9a = 45 Divide each side by '9'. a = 5 Simplifying a = 5
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