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Simplifying 4(-7a + 2) = 10a + -6 Reorder the terms: 4(2 + -7a) = 10a + -6 (2 * 4 + -7a * 4) = 10a + -6 (8 + -28a) = 10a + -6 Reorder the terms: 8 + -28a = -6 + 10a Solving 8 + -28a = -6 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 8 + -28a + -10a = -6 + 10a + -10a Combine like terms: -28a + -10a = -38a 8 + -38a = -6 + 10a + -10a Combine like terms: 10a + -10a = 0 8 + -38a = -6 + 0 8 + -38a = -6 Add '-8' to each side of the equation. 8 + -8 + -38a = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -38a = -6 + -8 -38a = -6 + -8 Combine like terms: -6 + -8 = -14 -38a = -14 Divide each side by '-38'. a = 0.3684210526 Simplifying a = 0.3684210526
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