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Simplifying -10 + -2a = 4a + 4(7 + 8a) -10 + -2a = 4a + (7 * 4 + 8a * 4) -10 + -2a = 4a + (28 + 32a) Reorder the terms: -10 + -2a = 28 + 4a + 32a Combine like terms: 4a + 32a = 36a -10 + -2a = 28 + 36a Solving -10 + -2a = 28 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. -10 + -2a + -36a = 28 + 36a + -36a Combine like terms: -2a + -36a = -38a -10 + -38a = 28 + 36a + -36a Combine like terms: 36a + -36a = 0 -10 + -38a = 28 + 0 -10 + -38a = 28 Add '10' to each side of the equation. -10 + 10 + -38a = 28 + 10 Combine like terms: -10 + 10 = 0 0 + -38a = 28 + 10 -38a = 28 + 10 Combine like terms: 28 + 10 = 38 -38a = 38 Divide each side by '-38'. a = -1 Simplifying a = -1
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