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Simplifying 4a + -7 = 7(a + 1) + 14a + 6 Reorder the terms: -7 + 4a = 7(a + 1) + 14a + 6 Reorder the terms: -7 + 4a = 7(1 + a) + 14a + 6 -7 + 4a = (1 * 7 + a * 7) + 14a + 6 -7 + 4a = (7 + 7a) + 14a + 6 Reorder the terms: -7 + 4a = 7 + 6 + 7a + 14a Combine like terms: 7 + 6 = 13 -7 + 4a = 13 + 7a + 14a Combine like terms: 7a + 14a = 21a -7 + 4a = 13 + 21a Solving -7 + 4a = 13 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -7 + 4a + -21a = 13 + 21a + -21a Combine like terms: 4a + -21a = -17a -7 + -17a = 13 + 21a + -21a Combine like terms: 21a + -21a = 0 -7 + -17a = 13 + 0 -7 + -17a = 13 Add '7' to each side of the equation. -7 + 7 + -17a = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -17a = 13 + 7 -17a = 13 + 7 Combine like terms: 13 + 7 = 20 -17a = 20 Divide each side by '-17'. a = -1.176470588 Simplifying a = -1.176470588
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