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Simplifying 4(7a + -1a) + -38 = 26a + -5(2 + 6a) Combine like terms: 7a + -1a = 6a 4(6a) + -38 = 26a + -5(2 + 6a) Remove parenthesis around (6a) 4 * 6a + -38 = 26a + -5(2 + 6a) Multiply 4 * 6 24a + -38 = 26a + -5(2 + 6a) Reorder the terms: -38 + 24a = 26a + -5(2 + 6a) -38 + 24a = 26a + (2 * -5 + 6a * -5) -38 + 24a = 26a + (-10 + -30a) Reorder the terms: -38 + 24a = -10 + 26a + -30a Combine like terms: 26a + -30a = -4a -38 + 24a = -10 + -4a Solving -38 + 24a = -10 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -38 + 24a + 4a = -10 + -4a + 4a Combine like terms: 24a + 4a = 28a -38 + 28a = -10 + -4a + 4a Combine like terms: -4a + 4a = 0 -38 + 28a = -10 + 0 -38 + 28a = -10 Add '38' to each side of the equation. -38 + 38 + 28a = -10 + 38 Combine like terms: -38 + 38 = 0 0 + 28a = -10 + 38 28a = -10 + 38 Combine like terms: -10 + 38 = 28 28a = 28 Divide each side by '28'. a = 1 Simplifying a = 1
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