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Simplifying -6(t + -6) + -1(t + 4) = 4 Reorder the terms: -6(-6 + t) + -1(t + 4) = 4 (-6 * -6 + t * -6) + -1(t + 4) = 4 (36 + -6t) + -1(t + 4) = 4 Reorder the terms: 36 + -6t + -1(4 + t) = 4 36 + -6t + (4 * -1 + t * -1) = 4 36 + -6t + (-4 + -1t) = 4 Reorder the terms: 36 + -4 + -6t + -1t = 4 Combine like terms: 36 + -4 = 32 32 + -6t + -1t = 4 Combine like terms: -6t + -1t = -7t 32 + -7t = 4 Solving 32 + -7t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -7t = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -7t = 4 + -32 -7t = 4 + -32 Combine like terms: 4 + -32 = -28 -7t = -28 Divide each side by '-7'. t = 4 Simplifying t = 4
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