3478=37(p+15)

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Solution for 3478=37(p+15) equation:


Simplifying
3478 = 37(p + 15)

Reorder the terms:
3478 = 37(15 + p)
3478 = (15 * 37 + p * 37)
3478 = (555 + 37p)

Solving
3478 = 555 + 37p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-37p' to each side of the equation.
3478 + -37p = 555 + 37p + -37p

Combine like terms: 37p + -37p = 0
3478 + -37p = 555 + 0
3478 + -37p = 555

Add '-3478' to each side of the equation.
3478 + -3478 + -37p = 555 + -3478

Combine like terms: 3478 + -3478 = 0
0 + -37p = 555 + -3478
-37p = 555 + -3478

Combine like terms: 555 + -3478 = -2923
-37p = -2923

Divide each side by '-37'.
p = 79

Simplifying
p = 79

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