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Simplifying 4a + -8 = 4(a + 1) + 15a + 4 Reorder the terms: -8 + 4a = 4(a + 1) + 15a + 4 Reorder the terms: -8 + 4a = 4(1 + a) + 15a + 4 -8 + 4a = (1 * 4 + a * 4) + 15a + 4 -8 + 4a = (4 + 4a) + 15a + 4 Reorder the terms: -8 + 4a = 4 + 4 + 4a + 15a Combine like terms: 4 + 4 = 8 -8 + 4a = 8 + 4a + 15a Combine like terms: 4a + 15a = 19a -8 + 4a = 8 + 19a Solving -8 + 4a = 8 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. -8 + 4a + -19a = 8 + 19a + -19a Combine like terms: 4a + -19a = -15a -8 + -15a = 8 + 19a + -19a Combine like terms: 19a + -19a = 0 -8 + -15a = 8 + 0 -8 + -15a = 8 Add '8' to each side of the equation. -8 + 8 + -15a = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -15a = 8 + 8 -15a = 8 + 8 Combine like terms: 8 + 8 = 16 -15a = 16 Divide each side by '-15'. a = -1.066666667 Simplifying a = -1.066666667
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