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Simplifying -38 + -4a = -4 + -7(-7a + 8) Reorder the terms: -38 + -4a = -4 + -7(8 + -7a) -38 + -4a = -4 + (8 * -7 + -7a * -7) -38 + -4a = -4 + (-56 + 49a) Combine like terms: -4 + -56 = -60 -38 + -4a = -60 + 49a Solving -38 + -4a = -60 + 49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49a' to each side of the equation. -38 + -4a + -49a = -60 + 49a + -49a Combine like terms: -4a + -49a = -53a -38 + -53a = -60 + 49a + -49a Combine like terms: 49a + -49a = 0 -38 + -53a = -60 + 0 -38 + -53a = -60 Add '38' to each side of the equation. -38 + 38 + -53a = -60 + 38 Combine like terms: -38 + 38 = 0 0 + -53a = -60 + 38 -53a = -60 + 38 Combine like terms: -60 + 38 = -22 -53a = -22 Divide each side by '-53'. a = 0.4150943396 Simplifying a = 0.4150943396
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