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Simplifying 4a + -4 = 4(a + 1) + 13a + 6 Reorder the terms: -4 + 4a = 4(a + 1) + 13a + 6 Reorder the terms: -4 + 4a = 4(1 + a) + 13a + 6 -4 + 4a = (1 * 4 + a * 4) + 13a + 6 -4 + 4a = (4 + 4a) + 13a + 6 Reorder the terms: -4 + 4a = 4 + 6 + 4a + 13a Combine like terms: 4 + 6 = 10 -4 + 4a = 10 + 4a + 13a Combine like terms: 4a + 13a = 17a -4 + 4a = 10 + 17a Solving -4 + 4a = 10 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -4 + 4a + -17a = 10 + 17a + -17a Combine like terms: 4a + -17a = -13a -4 + -13a = 10 + 17a + -17a Combine like terms: 17a + -17a = 0 -4 + -13a = 10 + 0 -4 + -13a = 10 Add '4' to each side of the equation. -4 + 4 + -13a = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -13a = 10 + 4 -13a = 10 + 4 Combine like terms: 10 + 4 = 14 -13a = 14 Divide each side by '-13'. a = -1.076923077 Simplifying a = -1.076923077
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