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Simplifying -37 + -1a = 3(a + -7) Reorder the terms: -37 + -1a = 3(-7 + a) -37 + -1a = (-7 * 3 + a * 3) -37 + -1a = (-21 + 3a) Solving -37 + -1a = -21 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -37 + -1a + -3a = -21 + 3a + -3a Combine like terms: -1a + -3a = -4a -37 + -4a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -37 + -4a = -21 + 0 -37 + -4a = -21 Add '37' to each side of the equation. -37 + 37 + -4a = -21 + 37 Combine like terms: -37 + 37 = 0 0 + -4a = -21 + 37 -4a = -21 + 37 Combine like terms: -21 + 37 = 16 -4a = 16 Divide each side by '-4'. a = -4 Simplifying a = -4
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